options: Find arc lengths and areas of sectors of circles.

Prove geometric theorems.

Prove theorems involving similarity.

Understand similarity in terms of similarity transformations.

Understand congruence in terms of rigid motions.

Apply geometric concepts in modeling situations.

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

Understand and apply the Pythagorean Theorem.

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

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

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

Experiment with transformations in the plane.

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

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

Reason with shapes and their attributes.

Apply trigonometry to general triangles.

Explain volume formulas and use them to solve problems.

Define trigonometric ratios and solve problems involving right triangles.

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

Use coordinates to prove simple geometric theorems algebraically.

Analyze, compare, create, and compose shapes.

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

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

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

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

Understand and apply theorems about circles.

Make geometric constructions.
problem_activity: Task
On the map below, $\frac14$ inch represents one mile. Candler, Canton, and Oteen are three cities on the map.
[IMG]
If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?
If Candler and Oteen are $3\frac12$ inches apart on the map, what is the actual distance between Candler and Oteen in miles?


correct_option_index: 9