options: Experiment with transformations in the plane.

Make geometric constructions.

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

Prove theorems involving similarity.

Apply geometric concepts in modeling situations.

Apply trigonometry to general triangles.

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

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

Explain volume formulas and use them to solve problems.

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

Find arc lengths and areas of sectors of circles.

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

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

Analyze, compare, create, and compose shapes.

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

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

Understand and apply the Pythagorean Theorem.

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

Define trigonometric ratios and solve problems involving right triangles.

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

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

Understand similarity in terms of similarity transformations.

Understand and apply theorems about circles.

Understand congruence in terms of rigid motions.

Use coordinates to prove simple geometric theorems algebraically.

Prove geometric theorems.

Reason with shapes and their attributes.
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: 15