options: Understand congruence in terms of rigid motions.

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

Experiment with transformations in the plane.

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

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

Prove geometric theorems.

Apply trigonometry to general triangles.

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

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

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

Make geometric constructions.

Understand similarity in terms of similarity transformations.

Explain volume formulas and use them to solve problems.

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

Understand and apply the Pythagorean Theorem.

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

Analyze, compare, create, and compose shapes.

Use coordinates to prove simple geometric theorems algebraically.

Find arc lengths and areas of sectors of circles.

Prove theorems involving similarity.

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

Apply geometric concepts in modeling situations.

Reason with shapes and their attributes.

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

Understand and apply theorems about circles.

Define trigonometric ratios and solve problems involving right triangles.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
problem_activity: Task
For each pair of figures, decide whether these figures are the same size and same shape. Explain your reasoning.
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What does it mean for two figures to be the same size and same shape?


correct_option_index: 9