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

Experiment with transformations in the plane.

Reason with shapes and their attributes.

Use coordinates to prove simple geometric theorems algebraically.

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

Understand similarity in terms of similarity transformations.

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

Apply trigonometry to general triangles.

Prove theorems involving similarity.

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

Understand and apply theorems about circles.

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

Make geometric constructions.

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.

Prove geometric theorems.

Explain volume formulas and use them to solve problems.

Understand congruence in terms of rigid motions.

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

Understand and apply the Pythagorean Theorem.

Apply geometric concepts in modeling situations.

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

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

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

Find arc lengths and areas of sectors of circles.

Analyze, compare, create, and compose shapes.

Define trigonometric ratios and solve problems involving right triangles.
problem_activity: Problem 1
Bisect the following angle using constructions. Write your steps for construction.
$${\overline{CA}\cong \overline{AB}}$$
[IMG]
Problem 2
You and your partner will be provided with a list of steps (in random order) needed to copy an angle using a compass and straightedge. Your task is to place the steps in the correct order, then follow the steps to copy the angle below.
[IMG]
|                                                Draw circle                     $$B$$                    : center                     $$B$$                    , any radius.                                                 |
|-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------|
| Label the intersections of circle                     $$B$$                    with the sides of the angle as                     $$A$$                    and                     $$C$$           *           .          * |
|                                                                  Label the vertex of the original angle as                     $$B$$                    .                                                                   |
|                                                                           Draw                     $${\overrightarrow{ED}}$$                    .                                                                           |
|                                                         Draw                     $${\overrightarrow{EG}}$$                    as one side of the angle to be drawn.                                                         |
|                           Draw circle                     $$F$$                    : center                     $$F$$                    , radius                     $$FA$$                    .                           |
|                           Draw circle                     $$E$$                    : center                     $$E$$                    , radius                     $$EA$$                    .                           |
|           Label intersection of circle          *             $$E$$            *          with                     $${\overrightarrow{EG}}$$                    as                     $$F$$                    .           |
|                 Label either intersection of circle                     $$E$$                    and circle                     $$F$$                    as                     $$D$$                    .                  |


correct_option_index: 1

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