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

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

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

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

Apply trigonometry to general triangles.

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

Explain volume formulas and use them to solve problems.

Analyze, compare, create, and compose shapes.

Use coordinates to prove simple geometric theorems algebraically.

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

Understand and apply the Pythagorean Theorem.

Reason with shapes and their attributes.

Prove theorems involving similarity.

Prove geometric theorems.

Define trigonometric ratios and solve problems involving right triangles.

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

Understand and apply theorems about circles.

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

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

Understand similarity in terms of similarity transformations.

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

Understand congruence in terms of rigid motions.

Experiment with transformations in the plane.

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

Make geometric constructions.

Apply geometric concepts in modeling situations.

Find arc lengths and areas of sectors of circles.
problem_activity: Task
A rectangular tank is $50\text{ cm}$ wide and $60\text{ cm}$ long.  It can hold up to $126$ $\ell$ of water when full.  If Amy fills $\frac23$ of the tank as shown, find the height of the water in centimeters. (Recall that $1$ $\ell = 1000\text{ cm}^3$.)
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correct_option_index: 1