options: Prove geometric theorems.

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

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

Experiment with transformations in the plane.

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

Understand and apply the Pythagorean Theorem.

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

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

Use coordinates to prove simple geometric theorems algebraically.

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

Explain volume formulas and use them to solve problems.

Find arc lengths and areas of sectors of circles.

Understand and apply theorems about circles.

Apply geometric concepts in modeling situations.

Understand similarity in terms of similarity transformations.

Define trigonometric ratios and solve problems involving right triangles.

Reason with shapes and their attributes.

Apply trigonometry to general triangles.

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

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

Make geometric constructions.

Prove theorems involving similarity.

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

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

Understand congruence in terms of rigid motions.

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

Analyze, compare, create, and compose shapes.
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: 4