options: Use coordinates to prove simple geometric theorems algebraically.

Understand congruence in terms of rigid motions.

Define trigonometric ratios and solve problems involving right triangles.

Make geometric constructions.

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

Explain volume formulas and use them to solve problems.

Understand and apply the Pythagorean Theorem.

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

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

Apply geometric concepts in modeling situations.

Experiment with transformations in the plane.

Understand similarity in terms of similarity transformations.

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

Prove theorems involving similarity.

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

Prove geometric theorems.

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

Find arc lengths and areas of sectors of circles.

Analyze, compare, create, and compose shapes.

Reason with shapes and their attributes.

Understand and apply theorems about circles.

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

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

Apply trigonometry to general triangles.

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

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

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
problem_activity: Task
A rectangular tank is $24\text{ cm}$ wide, and $30\text{ cm}$ long.  It contains a stone and is filled with water to a height of $8\text{ cm}$.  When Amy pulls the stone out of the tank, the height of the water drops to $6\text{ cm}$.  Find the volume of the stone.
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correct_option_index: 16