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

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

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

Find arc lengths and areas of sectors of circles.

Understand similarity in terms of similarity transformations.

Understand congruence in terms of rigid motions.

Understand and apply the Pythagorean Theorem.

Apply trigonometry to general triangles.

Reason with shapes and their attributes.

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

Prove geometric theorems.

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

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

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

Understand and apply theorems about circles.

Experiment with transformations in the plane.

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

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

Prove theorems involving similarity.

Apply geometric concepts in modeling situations.

Make geometric constructions.

Define trigonometric ratios and solve problems involving right triangles.

Use coordinates to prove simple geometric theorems algebraically.

Explain volume formulas and use them to solve problems.

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.

Analyze, compare, create, and compose shapes.
problem_activity: Problem 1
Circles
$$A$$
and
$$C$$
are shown below.
[IMG]
Write an equation that describes each of the circles.
Problem 2
Write the equation of a circle whose diameter has endpoints of
$$(-8, 2)$$
and
$$ (2, 2)$$
.
Problem 3
Describe how you could prove that circle
$$A$$
is similar to circle
$$B$$
.
[IMG]


correct_option_index: 14

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