options: Understand and apply theorems about circles.

Define trigonometric ratios and solve problems involving right triangles.

Analyze, compare, create, and compose shapes.

Prove geometric theorems.

Apply geometric concepts in modeling situations.

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

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

Prove theorems involving similarity.

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

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

Understand congruence in terms of rigid motions.

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

Understand and apply the Pythagorean Theorem.

Understand similarity in terms of similarity transformations.

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

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

Reason with shapes and their attributes.

Explain volume formulas and use them to solve problems.

Apply trigonometry to general triangles.

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

Experiment with transformations in the plane.

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

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

Find arc lengths and areas of sectors of circles.

Make geometric constructions.

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

Use coordinates to prove simple geometric theorems algebraically.
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: 15