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

Reason with shapes and their attributes.

Use coordinates to prove simple geometric theorems algebraically.

Define trigonometric ratios and solve problems involving right triangles.

Find arc lengths and areas of sectors of circles.

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

Prove geometric theorems.

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

Explain volume formulas and use them to solve problems.

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

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

Understand and apply the Pythagorean Theorem.

Understand congruence in terms of rigid motions.

Understand and apply theorems about circles.

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

Prove theorems involving similarity.

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

Analyze, compare, create, and compose shapes.

Make geometric constructions.

Understand similarity in terms of similarity transformations.

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

Apply geometric concepts in modeling situations.

Experiment with transformations in the plane.

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

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

Apply trigonometry to general triangles.

Understand congruence and similarity using physical models, transparencies, or geometry software.
problem_activity: Below is a square pyramid and a square prism. Which has the larger volume? Explain your reasoning.
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correct_option_index: 8