options: Prove theorems involving similarity.

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

Explain volume formulas and use them to solve problems.

Understand and apply theorems about circles.

Apply geometric concepts in modeling situations.

Analyze, compare, create, and compose shapes.

Prove geometric theorems.

Apply trigonometry to general triangles.

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

Understand and apply the Pythagorean Theorem.

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

Define trigonometric ratios and solve problems involving right triangles.

Find arc lengths and areas of sectors of circles.

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

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.

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

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

Make geometric constructions.

Reason with shapes and their attributes.

Experiment with transformations in the plane.

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

Understand congruence in terms of rigid motions.

Understand similarity in terms of similarity transformations.

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

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

Use coordinates to prove simple geometric theorems algebraically.
problem_activity: Using the diagram below:
[IMG]
What can be concluded about the relationship between line
$$l$$
and plane
$$P$$
? Why?
What can be concluded about the relationship between planes
$$P$$
and
$$Q$$
? Why?
What can be concluded about the relationship between lines
$$l$$
and
$$m$$
? Why?
What can be concluded about
$$\overline{AB}$$
and
$$\overline{CD}$$
?
Line
$$j$$
lies in plane
$$P$$
, and line
$$i$$
lies in plane
$$Q$$
. What can be concluded about the relationship between lines
$$i$$
and
$$j$$
?


correct_option_index: 20