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

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

Understand and apply theorems about circles.

Make geometric constructions.

Find arc lengths and areas of sectors of circles.

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

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.

Prove theorems involving similarity.

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

Define trigonometric ratios and solve problems involving right triangles.

Explain volume formulas and use them to solve problems.

Use coordinates to prove simple geometric theorems algebraically.

Analyze, compare, create, and compose shapes.

Apply geometric concepts in modeling situations.

Understand similarity in terms of similarity transformations.

Understand and apply the Pythagorean Theorem.

Experiment with transformations in the plane.

Understand congruence in terms of rigid motions.

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

Reason with shapes and their attributes.

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

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

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

Prove geometric theorems.

Graph points on the coordinate plane to solve real-world and mathematical problems.
problem_activity: Lily and Ravi are visiting the Redwood Forest in California. They want to measure the height of one of the trees, but they can’t climb it. However, they are able to measure the shadow of the tree. They determine the shadow of the tree is
$$583{1\over3}$$
feet long.
If Ravi is 6 feet tall and they determine his shadow is 10 feet long, find the height of the redwood tree.


correct_option_index: 8