options: Define trigonometric ratios and solve problems involving right triangles.

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.

Use coordinates to prove simple geometric theorems algebraically.

Analyze, compare, create, and compose shapes.

Explain volume formulas and use them to solve problems.

Understand similarity in terms of similarity transformations.

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

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).

Apply geometric concepts in modeling situations.

Understand and apply theorems about circles.

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

Experiment with transformations in the plane.

Prove theorems involving similarity.

Reason with shapes and their attributes.

Apply trigonometry to general triangles.

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

Make geometric constructions.

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

Understand and apply the Pythagorean Theorem.

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

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

Prove geometric theorems.

Understand congruence in terms of rigid motions.

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

Understand congruence and similarity using physical models, transparencies, or geometry software.
problem_activity: Problem 1
The images below are maps with different scales. What do you notice? What do you wonder?
[IMG]
[IMG]
Problem 2
The map below shows Boston Common and Boston Public Garden. Perla walked around the outside perimeter of the Common and the Public Garden. About how far did she walk?
[IMG]
Problem 3
On the map below,
$${{1\over4}}$$
inch represents one mile. Candler, Canton, and Oteen are three cities on the map.
[IMG]
a.   If the distance between the real towns of Candler and Canton is 9 miles, how far apart are Candler and Canton on the map?
b.   If Candler and Oteen are
$${3 {1\over2}}$$
inches apart on the map, what is the actual distance between Candler and Oteen in miles?


correct_option_index: 19