options: Prove theorems involving similarity.

Apply trigonometry to general triangles.

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

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

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.

Use coordinates to prove simple geometric theorems algebraically.

Understand congruence in terms of rigid motions.

Understand and apply theorems about circles.

Prove geometric theorems.

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

Find arc lengths and areas of sectors of circles.

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

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

Make geometric constructions.

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

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

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

Apply geometric concepts in modeling situations.

Define trigonometric ratios and solve problems involving right triangles.

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

Reason with shapes and their attributes.

Understand and apply the Pythagorean Theorem.

Experiment with transformations in the plane.

Analyze, compare, create, and compose shapes.

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

Understand similarity in terms of similarity transformations.
problem_activity: Task
Amy and Greg are raking up leaves from a large maple tree in their yard and Amy remarks "I'll bet this tree has a million leaves." Greg is skeptical. Amy suggests the following method to check whether or not this is possible:
Find a small maple tree and estimate how many leaves it has.
Use that number to figure out how many leaves the big maple tree has.
Describe the assumptions and calculations needed to carry for Amy's strategy.
Amy and Greg estimate that their maple tree is about $35$ feet tall. They find a $5$ foot tall maple tree and estimate that it has about $400$ leaves. Use your work from part (a) to estimate the number of leaves on Amy and Greg's tree.


correct_option_index: 18