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

Understand and apply the Pythagorean Theorem.

Prove theorems involving similarity.

Experiment with transformations in the plane.

Understand and apply theorems about circles.

Find arc lengths and areas of sectors of circles.

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

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

Make geometric constructions.

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

Apply geometric concepts in modeling situations.

Explain volume formulas and use them to solve problems.

Prove geometric theorems.

Analyze, compare, create, and compose shapes.

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

Apply trigonometry to general triangles.

Reason with shapes and their attributes.

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.

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

Use coordinates to prove simple geometric theorems algebraically.

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

Understand congruence in terms of rigid motions.

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

Understand similarity in terms of similarity transformations.

Define trigonometric ratios and solve problems involving right triangles.

Solve real-world and mathematical problems involving area, surface area, and volume.
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: 20