You are given a geometric mathematical question. Questions in this task often involve shapes and Geometric Relationships. You are also given 4 or 5 answer options (associated with "A", "B", "C", "D", "E"). Do not generate anything else apart from one of the following characters: 'A', 'B, 'C', 'D', 'E'. LaTeX mathematical format (the standard way to express mathematical expressions in the typesetting software known as LaTeX) is used to express equations. Each question is solvable with high school math knowledge.

Input: Consider Input: If the perimeter of a regular polygon is 21, which of the following could be the length of one side of the polygon?
(A)6 (B)5 (C)4 (D)3 (E)2

Output: D

Input: Consider Input: A square and an equilateral triangle each have sides of length 5. What is the ratio of the area of the square to the area of the triangle?
(A)\(
rac { 4 } { 3 } \) (B)\(
rac { 16 } { 9 } \) (C)\(
rac { \sqrt { 3 } } { 4 } \) (D)\(
rac { 4\sqrt { 3 } } { 3 } \) (E)\(
rac { 16\sqrt { 3 } } { 9 } \)

Output: D

Input: Consider Input: The graph of \(y = x - 2\) is drawn on a set of coordinate axes. If the graph of \(y = x + 7\) is then drawn on the same axes, how does the second graph compare to the first?
(A)The second graph will be 9 units above the first. (B)The second graph will be 3 units above the first. (C)The second graph will be 5 units bellow the first. (D)The second graph will be 9 units bellow the first. (E)The second graph will have a greater slope than the first.
Output: A