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

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

Apply trigonometry to general triangles.

Understand similarity in terms of similarity transformations.

Understand congruence in terms of rigid motions.

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

Make geometric constructions.

Experiment with transformations in the plane.

Find arc lengths and areas of sectors of circles.

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

Explain volume formulas and use them to solve problems.

Understand and apply the Pythagorean Theorem.

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

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

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

Reason with shapes and their attributes.

Define trigonometric ratios and solve problems involving right triangles.

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

Analyze, compare, create, and compose shapes.

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

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

Apply geometric concepts in modeling situations.

Prove theorems involving similarity.

Prove geometric theorems.

Understand and apply theorems about circles.

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

Use coordinates to prove simple geometric theorems algebraically.
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: 26