id stringlengths 46 46 | setting_key stringclasses 1 value | setting_name stringclasses 0 values | messages listlengths 1 1 | ground_truth stringclasses 15 values | dataset stringclasses 1 value |
|---|---|---|---|---|---|
geometry_perpendicular_intersection_train_0000 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 4, from vertex 4 to vertex 8, from vertex 10 to vertex 4, from vertex 6 to vertex 3, from vertex 5 to vertex 8, from vertex 7 to vertex 9, from ve... | 7 | math |
geometry_perpendicular_intersection_train_0001 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 1, from vertex 5 to vertex 8, from vertex 8 to vertex 3, from vertex 9 to vertex 5, from vertex 2 to vertex 5, from vertex 9 to vertex 2, from verte... | 0 | math |
geometry_perpendicular_intersection_train_0002 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 9-gon, with vertices numbered 1 through 9 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 8, from vertex 9 to vertex 5, from vertex 4 to vertex 6, from vertex 7 to vertex 4, from vertex 3 to vertex 9, from vertex 2 to vertex 5, from verte... | 0 | math |
geometry_perpendicular_intersection_train_0003 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 4, from vertex 3 to vertex 12, from vertex 8 to vertex 1, from vertex 1 to vertex 4, from vertex 7 to vertex 2, from vertex 12 to vertex 10, from... | 6 | math |
geometry_perpendicular_intersection_train_0004 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 4, from vertex 3 to vertex 5, from vertex 10 to vertex 8, from vertex 5 to vertex 10, from vertex 5 to vertex 2, from vertex 3 to vertex 8, from v... | 0 | math |
geometry_perpendicular_intersection_train_0005 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 8, from vertex 2 to vertex 7, from vertex 6 to vertex 4, from vertex 3 to vertex 8, from vertex 5 to vertex 2, from vertex 3 to vertex 5, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0006 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 1, from vertex 3 to vertex 1, from vertex 4 to vertex 6, from vertex 6 to vertex 1, from vertex 3 to vertex 8, from vertex 1 to vertex 7, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0007 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 10, from vertex 5 to vertex 7, from vertex 6 to vertex 2, from vertex 7 to vertex 1, from vertex 10 to vertex 8, from vertex 7 to vertex 9, from v... | 4 | math |
geometry_perpendicular_intersection_train_0008 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 2, from vertex 7 to vertex 3, from vertex 2 to vertex 7, from vertex 1 to vertex 5, from vertex 3 to vertex 5, from vertex 4 to vertex 1, from verte... | 0 | math |
geometry_perpendicular_intersection_train_0009 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 5, from vertex 1 to vertex 3, from vertex 3 to vertex 5, from vertex 3 to vertex 8, from vertex 5 to vertex 1, from vertex 3 to vertex 7, from verte... | 9 | math |
geometry_perpendicular_intersection_train_0010 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 4, from vertex 7 to vertex 12, from vertex 4 to vertex 10, from vertex 7 to vertex 4, from vertex 3 to vertex 7, from vertex 5 to vertex 12, and ... | 2 | math |
geometry_perpendicular_intersection_train_0011 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 3, from vertex 2 to vertex 7, from vertex 2 to vertex 8, from vertex 7 to vertex 3, from vertex 6 to vertex 3, from vertex 4 to vertex 9, from ve... | 5 | math |
geometry_perpendicular_intersection_train_0012 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 11, from vertex 2 to vertex 4, from vertex 5 to vertex 1, from vertex 1 to vertex 8, from vertex 11 to vertex 4, from vertex 4 to vertex 1, from v... | 4 | math |
geometry_perpendicular_intersection_train_0013 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 2, from vertex 5 to vertex 1, from vertex 5 to vertex 8, from vertex 7 to vertex 3, from vertex 7 to vertex 1, from vertex 3 to vertex 8, from ver... | 6 | math |
geometry_perpendicular_intersection_train_0014 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 9 to vertex 3, from vertex 2 to vertex 7, from vertex 4 to vertex 1, from vertex 4 to vertex 10, from vertex 6 to vertex 2, from vertex 4 to vertex 8, from ve... | 5 | math |
geometry_perpendicular_intersection_train_0015 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 8, from vertex 6 to vertex 2, from vertex 4 to vertex 1, from vertex 8 to vertex 4, from vertex 4 to vertex 2, from vertex 3 to vertex 6, from verte... | 8 | math |
geometry_perpendicular_intersection_train_0016 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 7, from vertex 4 to vertex 1, from vertex 1 to vertex 6, from vertex 6 to vertex 8, from vertex 8 to vertex 2, from vertex 5 to vertex 1, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0017 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5, from vertex 5 to vertex 8, from vertex 7 to vertex 2, from vertex 5 to vertex 1, from vertex 4 to vertex 1, from vertex 4 to vertex 2, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0018 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 9, from vertex 4 to vertex 6, from vertex 1 to vertex 3, from vertex 7 to vertex 3, from vertex 2 to vertex 9, from vertex 5 to vertex 10, and fro... | 4 | math |
geometry_perpendicular_intersection_train_0019 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 1, from vertex 5 to vertex 1, from vertex 3 to vertex 5, from vertex 6 to vertex 4, from vertex 3 to vertex 6, from vertex 7 to vertex 2, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0020 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 3, from vertex 3 to vertex 5, from vertex 4 to vertex 6, from vertex 8 to vertex 3, from vertex 5 to vertex 8, from vertex 7 to vertex 3, from verte... | 2 | math |
geometry_perpendicular_intersection_train_0021 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 8, from vertex 9 to vertex 5, from vertex 10 to vertex 5, from vertex 2 to vertex 6, from vertex 1 to vertex 4, from vertex 7 to vertex 4, from v... | 1 | math |
geometry_perpendicular_intersection_train_0022 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 1, from vertex 4 to vertex 6, from vertex 8 to vertex 5, from vertex 8 to vertex 3, from vertex 10 to vertex 5, from vertex 9 to vertex 7, from ve... | 5 | math |
geometry_perpendicular_intersection_train_0023 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 4, from vertex 5 to vertex 2, from vertex 4 to vertex 10, from vertex 6 to vertex 2, from vertex 10 to vertex 8, from vertex 3 to vertex 1, from v... | 7 | math |
geometry_perpendicular_intersection_train_0024 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6, from vertex 7 to vertex 3, from vertex 3 to vertex 12, from vertex 10 to vertex 3, from vertex 9 to vertex 7, from vertex 11 to vertex 2, from ... | 6 | math |
geometry_perpendicular_intersection_train_0025 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 6, from vertex 6 to vertex 4, from vertex 2 to vertex 8, from vertex 1 to vertex 6, from vertex 2 to vertex 7, from vertex 7 to vertex 10, from ve... | 4 | math |
geometry_perpendicular_intersection_train_0026 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 6, from vertex 8 to vertex 3, from vertex 7 to vertex 1, from vertex 5 to vertex 8, from vertex 7 to vertex 3, from vertex 4 to vertex 1, from verte... | 9 | math |
geometry_perpendicular_intersection_train_0027 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5, from vertex 6 to vertex 3, from vertex 4 to vertex 6, from vertex 1 to vertex 3, from vertex 1 to vertex 4, from vertex 6 to vertex 2, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0028 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 6, from vertex 3 to vertex 7, from vertex 5 to vertex 8, from vertex 4 to vertex 7, from vertex 8 to vertex 1, from vertex 7 to vertex 5, from ver... | 4 | math |
geometry_perpendicular_intersection_train_0029 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3, from vertex 2 to vertex 10, from vertex 2 to vertex 9, from vertex 10 to vertex 7, from vertex 5 to vertex 2, from vertex 1 to vertex 8, from v... | 9 | math |
geometry_perpendicular_intersection_train_0030 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 7, from vertex 7 to vertex 11, from vertex 2 to vertex 10, from vertex 2 to vertex 4, from vertex 4 to vertex 10, from vertex 10 to vertex 6, from... | 0 | math |
geometry_perpendicular_intersection_train_0031 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 1, from vertex 6 to vertex 3, from vertex 7 to vertex 3, from vertex 5 to vertex 3, from vertex 5 to vertex 2, from vertex 2 to vertex 6, from verte... | 0 | math |
geometry_perpendicular_intersection_train_0032 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 6, from vertex 2 to vertex 5, from vertex 6 to vertex 2, from vertex 2 to vertex 4, from vertex 3 to vertex 1, from vertex 5 to vertex 3, from verte... | 4 | math |
geometry_perpendicular_intersection_train_0033 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 2, from vertex 1 to vertex 3, from vertex 5 to vertex 8, from vertex 2 to vertex 4, from vertex 7 to vertex 4, from vertex 3 to vertex 8, from verte... | 7 | math |
geometry_perpendicular_intersection_train_0034 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 4, from vertex 7 to vertex 10, from vertex 10 to vertex 4, from vertex 8 to vertex 5, from vertex 6 to vertex 10, from vertex 3 to vertex 1, from ... | 6 | math |
geometry_perpendicular_intersection_train_0035 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3, from vertex 3 to vertex 8, from vertex 4 to vertex 6, from vertex 11 to vertex 7, from vertex 5 to vertex 10, from vertex 9 to vertex 1, from v... | 9 | math |
geometry_perpendicular_intersection_train_0036 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 12 to vertex 10, from vertex 6 to vertex 2, from vertex 9 to vertex 11, from vertex 2 to vertex 10, from vertex 1 to vertex 10, from vertex 5 to vertex 7, fro... | 6 | math |
geometry_perpendicular_intersection_train_0037 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3, from vertex 1 to vertex 8, from vertex 8 to vertex 2, from vertex 5 to vertex 10, from vertex 9 to vertex 12, from vertex 1 to vertex 4, from v... | 4 | math |
geometry_perpendicular_intersection_train_0038 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 3, from vertex 7 to vertex 5, from vertex 2 to vertex 6, from vertex 4 to vertex 7, from vertex 6 to vertex 4, from vertex 4 to vertex 8, from verte... | 8 | math |
geometry_perpendicular_intersection_train_0039 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 6, from vertex 7 to vertex 3, from vertex 1 to vertex 4, from vertex 3 to vertex 1, from vertex 5 to vertex 1, from vertex 7 to vertex 5, from verte... | 10 | math |
geometry_perpendicular_intersection_train_0040 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 10, from vertex 9 to vertex 5, from vertex 12 to vertex 6, from vertex 8 to vertex 10, from vertex 6 to vertex 3, from vertex 12 to vertex 2, from... | 4 | math |
geometry_perpendicular_intersection_train_0041 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 1, from vertex 1 to vertex 7, from vertex 10 to vertex 7, from vertex 2 to vertex 5, from vertex 5 to vertex 3, from vertex 6 to vertex 3, from ve... | 9 | math |
geometry_perpendicular_intersection_train_0042 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5, from vertex 4 to vertex 1, from vertex 6 to vertex 4, from vertex 3 to vertex 1, from vertex 1 to vertex 5, from vertex 6 to vertex 3, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0043 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 7-gon, with vertices numbered 1 through 7 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 6, from vertex 2 to vertex 6, from vertex 4 to vertex 7, from vertex 3 to vertex 7, from vertex 7 to vertex 5, from vertex 5 to vertex 1, from verte... | 0 | math |
geometry_perpendicular_intersection_train_0044 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 5, from vertex 8 to vertex 4, from vertex 1 to vertex 7, from vertex 7 to vertex 5, from vertex 3 to vertex 6, from vertex 1 to vertex 3, from verte... | 9 | math |
geometry_perpendicular_intersection_train_0045 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6, from vertex 8 to vertex 3, from vertex 8 to vertex 5, from vertex 7 to vertex 3, from vertex 3 to vertex 1, from vertex 8 to vertex 4, from verte... | 8 | math |
geometry_perpendicular_intersection_train_0046 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 7, from vertex 6 to vertex 8, from vertex 6 to vertex 4, from vertex 4 to vertex 1, from vertex 4 to vertex 8, from vertex 6 to vertex 3, from verte... | 7 | math |
geometry_perpendicular_intersection_train_0047 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 9, from vertex 4 to vertex 12, from vertex 7 to vertex 5, from vertex 6 to vertex 8, from vertex 9 to vertex 1, from vertex 2 to vertex 10, and fr... | 4 | math |
geometry_perpendicular_intersection_train_0048 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3, from vertex 7 to vertex 3, from vertex 4 to vertex 8, from vertex 7 to vertex 4, from vertex 5 to vertex 3, from vertex 4 to vertex 2, from verte... | 8 | math |
geometry_perpendicular_intersection_train_0049 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 8, from vertex 1 to vertex 7, from vertex 4 to vertex 6, from vertex 3 to vertex 5, from vertex 8 to vertex 4, from vertex 3 to vertex 1, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0050 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 5, from vertex 10 to vertex 4, from vertex 5 to vertex 2, from vertex 1 to vertex 10, from vertex 2 to vertex 11, from vertex 8 to vertex 3, from... | 7 | math |
geometry_perpendicular_intersection_train_0051 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 6, from vertex 10 to vertex 3, from vertex 6 to vertex 8, from vertex 6 to vertex 10, from vertex 9 to vertex 2, from vertex 6 to vertex 9, from v... | 3 | math |
geometry_perpendicular_intersection_train_0052 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 9 to vertex 2, from vertex 10 to vertex 1, from vertex 12 to vertex 8, from vertex 6 to vertex 9, from vertex 6 to vertex 12, from vertex 12 to vertex 5, and ... | 4 | math |
geometry_perpendicular_intersection_train_0053 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3, from vertex 4 to vertex 2, from vertex 4 to vertex 7, from vertex 5 to vertex 1, from vertex 8 to vertex 3, from vertex 1 to vertex 7, from verte... | 4 | math |
geometry_perpendicular_intersection_train_0054 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 5, from vertex 1 to vertex 4, from vertex 3 to vertex 5, from vertex 2 to vertex 4, from vertex 5 to vertex 1, from vertex 1 to vertex 3, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0055 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 9, from vertex 10 to vertex 6, from vertex 11 to vertex 6, from vertex 3 to vertex 1, from vertex 5 to vertex 1, from vertex 6 to vertex 3, from v... | 9 | math |
geometry_perpendicular_intersection_train_0056 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 9, from vertex 7 to vertex 1, from vertex 3 to vertex 1, from vertex 1 to vertex 9, from vertex 5 to vertex 1, from vertex 9 to vertex 6, from ver... | 8 | math |
geometry_perpendicular_intersection_train_0057 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 1, from vertex 3 to vertex 6, from vertex 5 to vertex 3, from vertex 6 to vertex 2, from vertex 6 to vertex 4, from vertex 5 to vertex 1, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0058 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 9, from vertex 5 to vertex 1, from vertex 7 to vertex 9, from vertex 7 to vertex 4, from vertex 9 to vertex 3, from vertex 6 to vertex 9, from ver... | 4 | math |
geometry_perpendicular_intersection_train_0059 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 11, from vertex 5 to vertex 1, from vertex 6 to vertex 10, from vertex 6 to vertex 12, from vertex 8 to vertex 12, from vertex 2 to vertex 12, fro... | 3 | math |
geometry_perpendicular_intersection_train_0060 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 1, from vertex 9 to vertex 5, from vertex 2 to vertex 11, from vertex 4 to vertex 1, from vertex 12 to vertex 8, from vertex 2 to vertex 8, from ... | 7 | math |
geometry_perpendicular_intersection_train_0061 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 2, from vertex 8 to vertex 10, from vertex 8 to vertex 1, from vertex 7 to vertex 4, from vertex 3 to vertex 11, from vertex 1 to vertex 4, from ... | 2 | math |
geometry_perpendicular_intersection_train_0062 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 2, from vertex 8 to vertex 4, from vertex 1 to vertex 4, from vertex 1 to vertex 7, from vertex 7 to vertex 5, from vertex 5 to vertex 1, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0063 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3, from vertex 6 to vertex 4, from vertex 5 to vertex 3, from vertex 5 to vertex 1, from vertex 2 to vertex 6, from vertex 4 to vertex 1, from verte... | 6 | math |
geometry_perpendicular_intersection_train_0064 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 8, from vertex 4 to vertex 8, from vertex 4 to vertex 1, from vertex 3 to vertex 8, from vertex 1 to vertex 5, from vertex 6 to vertex 3, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0065 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 9, from vertex 4 to vertex 1, from vertex 5 to vertex 3, from vertex 2 to vertex 10, from vertex 5 to vertex 2, from vertex 7 to vertex 2, and fro... | 1 | math |
geometry_perpendicular_intersection_train_0066 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 6, from vertex 7 to vertex 4, from vertex 3 to vertex 1, from vertex 8 to vertex 3, from vertex 3 to vertex 6, from vertex 4 to vertex 8, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0067 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 4, from vertex 4 to vertex 6, from vertex 3 to vertex 8, from vertex 2 to vertex 5, from vertex 1 to vertex 7, from vertex 3 to vertex 6, from verte... | 7 | math |
geometry_perpendicular_intersection_train_0068 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 8, from vertex 1 to vertex 5, from vertex 2 to vertex 6, from vertex 8 to vertex 4, from vertex 3 to vertex 5, from vertex 8 to vertex 6, from verte... | 5 | math |
geometry_perpendicular_intersection_train_0069 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 8, from vertex 7 to vertex 1, from vertex 12 to vertex 3, from vertex 12 to vertex 7, from vertex 4 to vertex 6, from vertex 12 to vertex 2, from ... | 7 | math |
geometry_perpendicular_intersection_train_0070 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 4, from vertex 5 to vertex 7, from vertex 1 to vertex 7, from vertex 4 to vertex 2, from vertex 6 to vertex 2, from vertex 8 to vertex 6, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0071 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 9, from vertex 4 to vertex 12, from vertex 8 to vertex 5, from vertex 2 to vertex 7, from vertex 5 to vertex 11, from vertex 4 to vertex 7, from v... | 4 | math |
geometry_perpendicular_intersection_train_0072 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 3, from vertex 7 to vertex 2, from vertex 6 to vertex 2, from vertex 8 to vertex 4, from vertex 12 to vertex 10, from vertex 5 to vertex 7, from v... | 9 | math |
geometry_perpendicular_intersection_train_0073 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 9, from vertex 12 to vertex 2, from vertex 11 to vertex 8, from vertex 6 to vertex 12, from vertex 8 to vertex 6, from vertex 7 to vertex 3, from ... | 6 | math |
geometry_perpendicular_intersection_train_0074 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 8, from vertex 2 to vertex 4, from vertex 3 to vertex 8, from vertex 3 to vertex 9, from vertex 4 to vertex 6, from vertex 1 to vertex 11, from v... | 5 | math |
geometry_perpendicular_intersection_train_0075 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 10, from vertex 11 to vertex 6, from vertex 5 to vertex 10, from vertex 7 to vertex 3, from vertex 7 to vertex 2, from vertex 5 to vertex 8, from ... | 6 | math |
geometry_perpendicular_intersection_train_0076 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 1, from vertex 8 to vertex 5, from vertex 2 to vertex 4, from vertex 9 to vertex 2, from vertex 9 to vertex 5, from vertex 7 to vertex 4, from ver... | 7 | math |
geometry_perpendicular_intersection_train_0077 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 3, from vertex 2 to vertex 12, from vertex 2 to vertex 6, from vertex 10 to vertex 3, from vertex 2 to vertex 10, from vertex 2 to vertex 5, from ... | 5 | math |
geometry_perpendicular_intersection_train_0078 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 2, from vertex 11 to vertex 2, from vertex 5 to vertex 9, from vertex 10 to vertex 3, from vertex 6 to vertex 8, from vertex 8 to vertex 1, from v... | 6 | math |
geometry_perpendicular_intersection_train_0079 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 11-gon, with vertices numbered 1 through 11 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 7, from vertex 11 to vertex 4, from vertex 7 to vertex 4, from vertex 5 to vertex 2, from vertex 10 to vertex 5, from vertex 8 to vertex 4, from ... | 0 | math |
geometry_perpendicular_intersection_train_0080 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 1, from vertex 2 to vertex 7, from vertex 8 to vertex 2, from vertex 4 to vertex 1, from vertex 7 to vertex 5, from vertex 8 to vertex 4, from verte... | 8 | math |
geometry_perpendicular_intersection_train_0081 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 2, from vertex 4 to vertex 9, from vertex 4 to vertex 11, from vertex 7 to vertex 5, from vertex 8 to vertex 12, from vertex 6 to vertex 8, from v... | 5 | math |
geometry_perpendicular_intersection_train_0082 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 2, from vertex 7 to vertex 9, from vertex 1 to vertex 5, from vertex 6 to vertex 9, from vertex 7 to vertex 1, from vertex 1 to vertex 8, and from... | 1 | math |
geometry_perpendicular_intersection_train_0083 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 5, from vertex 2 to vertex 6, from vertex 1 to vertex 7, from vertex 6 to vertex 10, from vertex 6 to vertex 4, from vertex 8 to vertex 2, from v... | 7 | math |
geometry_perpendicular_intersection_train_0084 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 7 to vertex 4, from vertex 6 to vertex 9, from vertex 8 to vertex 6, from vertex 9 to vertex 1, from vertex 3 to vertex 9, from vertex 1 to vertex 7, from ver... | 8 | math |
geometry_perpendicular_intersection_train_0085 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6, from vertex 3 to vertex 6, from vertex 6 to vertex 4, from vertex 3 to vertex 1, from vertex 3 to vertex 5, from vertex 1 to vertex 4, from verte... | 4 | math |
geometry_perpendicular_intersection_train_0086 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 10, from vertex 5 to vertex 9, from vertex 1 to vertex 8, from vertex 9 to vertex 2, from vertex 6 to vertex 4, from vertex 1 to vertex 4, from ve... | 9 | math |
geometry_perpendicular_intersection_train_0087 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 4, from vertex 7 to vertex 4, from vertex 11 to vertex 4, from vertex 6 to vertex 10, from vertex 2 to vertex 12, from vertex 6 to vertex 8, from ... | 5 | math |
geometry_perpendicular_intersection_train_0088 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 5, from vertex 2 to vertex 5, from vertex 8 to vertex 6, from vertex 3 to vertex 7, from vertex 6 to vertex 4, from vertex 3 to vertex 6, from verte... | 4 | math |
geometry_perpendicular_intersection_train_0089 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 2 to vertex 6, from vertex 2 to vertex 4, from vertex 1 to vertex 5, from vertex 5 to vertex 2, from vertex 1 to vertex 3, from vertex 6 to vertex 3, and from v... | 3 | math |
geometry_perpendicular_intersection_train_0090 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 1 to vertex 7, from vertex 1 to vertex 6, from vertex 3 to vertex 9, from vertex 5 to vertex 10, from vertex 3 to vertex 6, from vertex 5 to vertex 7, from ve... | 4 | math |
geometry_perpendicular_intersection_train_0091 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 7, from vertex 4 to vertex 7, from vertex 6 to vertex 1, from vertex 2 to vertex 5, from vertex 1 to vertex 7, from vertex 8 to vertex 5, from verte... | 7 | math |
geometry_perpendicular_intersection_train_0092 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 8-gon, with vertices numbered 1 through 8 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 8, from vertex 7 to vertex 5, from vertex 2 to vertex 5, from vertex 4 to vertex 2, from vertex 3 to vertex 6, from vertex 5 to vertex 3, from verte... | 13 | math |
geometry_perpendicular_intersection_train_0093 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 10-gon, with vertices numbered 1 through 10 in counterclockwise order. Draw the diagonal from vertex 4 to vertex 9, from vertex 3 to vertex 8, from vertex 4 to vertex 1, from vertex 5 to vertex 7, from vertex 1 to vertex 7, from vertex 5 to vertex 8, from ver... | 3 | math |
geometry_perpendicular_intersection_train_0094 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 5 to vertex 3, from vertex 6 to vertex 3, from vertex 4 to vertex 1, from vertex 2 to vertex 6, from vertex 4 to vertex 2, from vertex 4 to vertex 6, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0095 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 6-gon, with vertices numbered 1 through 6 in counterclockwise order. Draw the diagonal from vertex 3 to vertex 5, from vertex 4 to vertex 2, from vertex 1 to vertex 3, from vertex 2 to vertex 5, from vertex 6 to vertex 2, from vertex 1 to vertex 4, and from v... | 4 | math |
geometry_perpendicular_intersection_train_0096 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 8 to vertex 4, from vertex 4 to vertex 2, from vertex 5 to vertex 9, from vertex 6 to vertex 12, from vertex 9 to vertex 7, from vertex 8 to vertex 6, from ve... | 6 | math |
geometry_perpendicular_intersection_train_0097 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 6 to vertex 11, from vertex 3 to vertex 7, from vertex 7 to vertex 2, from vertex 3 to vertex 6, from vertex 10 to vertex 3, from vertex 4 to vertex 1, and fr... | 0 | math |
geometry_perpendicular_intersection_train_0098 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 10 to vertex 1, from vertex 11 to vertex 6, from vertex 5 to vertex 2, from vertex 1 to vertex 5, from vertex 10 to vertex 5, from vertex 1 to vertex 9, from ... | 2 | math |
geometry_perpendicular_intersection_train_0099 | geometry_perpendicular_intersection | null | [
{
"role": "user",
"content": "Suppose you have a 12-gon, with vertices numbered 1 through 12 in counterclockwise order. Draw the diagonal from vertex 11 to vertex 4, from vertex 9 to vertex 11, from vertex 11 to vertex 5, from vertex 10 to vertex 2, from vertex 5 to vertex 12, from vertex 11 to vertex 7, fr... | 3 | math |
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