options: Understand and apply the Pythagorean Theorem.

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

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

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

Understand and apply theorems about circles.

Define trigonometric ratios and solve problems involving right triangles.

Experiment with transformations in the plane.

Prove geometric theorems.

Understand similarity in terms of similarity transformations.

Use coordinates to prove simple geometric theorems algebraically.

Prove theorems involving similarity.

Apply trigonometry to general triangles.

Analyze, compare, create, and compose shapes.

Explain volume formulas and use them to solve problems.

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

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

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

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

Make geometric constructions.

Understand congruence in terms of rigid motions.

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

Reason with shapes and their attributes.

Apply geometric concepts in modeling situations.

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

Find arc lengths and areas of sectors of circles.

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

Solve real-world and mathematical problems involving area, surface area, and volume.
problem_activity: The two triangles in the picture below are congruent:
[IMG]
a.   Give a sequence of rotations, translations, and/or reflections that take
$${\triangle PRQ}$$
to
$${\triangle ABC}$$
.
b.   Is it possible to show the congruence in part (a) using only translations and rotations? Explain.


correct_option_index: 2