options: Find arc lengths and areas of sectors of circles.

Understand and apply theorems about circles.

Prove theorems involving similarity.

Translate between the geometric description and the equation for a conic section.

Draw, construct, and describe geometrical figures and describe the relationships between them.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Experiment with transformations in the plane.

Analyze, compare, create, and compose shapes.

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.

Graph points on the coordinate plane to solve real-world and mathematical problems.

Classify two-dimensional figures into categories based on their properties.

Understand similarity in terms of similarity transformations.

Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).

Define trigonometric ratios and solve problems involving right triangles.

Use coordinates to prove simple geometric theorems algebraically.

Understand congruence and similarity using physical models, transparencies, or geometry software.

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Apply geometric concepts in modeling situations.

Explain volume formulas and use them to solve problems.

Reason with shapes and their attributes.

Visualize relationships between two-dimensional and three-dimensional objects.

Prove geometric theorems.

Make geometric constructions.

Solve real-world and mathematical problems involving area, surface area, and volume.

Understand congruence in terms of rigid motions.

Apply trigonometry to general triangles.

Understand and apply the Pythagorean Theorem.
problem_activity: Problem 1
In the diagram below,
$${m\parallel p}$$
.
[IMG]
a. Write three equations that are perpendicular to line
$$m$$
.
b. What is the relationship between your three equations and line
$$p$$
?
c. Find the distance between line
$$m$$
and
$$p$$
using your three equations. What do you notice?
Problem 2
In the diagram below,
$${\overleftrightarrow {AI} \parallel {\overleftrightarrow {CK}}}$$
and
$${\overleftrightarrow{IC} \perp \overleftrightarrow {AK}}$$
. How can you use the triangles
$${AHI}$$
and
$${KHC}$$
to prove that the slopes for
$${\overleftrightarrow{AI}}$$
and
$${\overleftrightarrow {CK}}$$
are the same?
[IMG]
Problem 3
Write three equations that are parellel to
$${\overleftrightarrow{AB}}$$
.
[IMG]


correct_option_index: 14