options: Apply geometric concepts in modeling situations.

Define trigonometric ratios and solve problems involving right triangles.

Use coordinates to prove simple geometric theorems algebraically.

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

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

Experiment with transformations in the plane.

Understand and apply theorems about circles.

Reason with shapes and their attributes.

Find arc lengths and areas of sectors of circles.

Analyze, compare, create, and compose shapes.

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

Apply trigonometry to general triangles.

Prove geometric theorems.

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

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

Understand and apply the Pythagorean Theorem.

Prove theorems involving similarity.

Understand congruence in terms of rigid motions.

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

Understand similarity in terms of similarity transformations.

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

Make geometric constructions.

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

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

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

Explain volume formulas and use them to solve problems.

Solve real-world and mathematical problems involving area, surface area, and volume.
problem_activity: Task
Mr. Watkins asked his students to draw a line of symmetry for a circle
with center $O$ pictured below:
[IMG]
Lisa drew the picture below. Is Lisa correct?
[IMG]
Brad drew the picture below. Is Brad's picture correct?
[IMG]
How many lines of symmetry does a circle have? Explain.
Explain why  each line of symmetry divides the circle in half.
Explain why each line of symmetry for the circle must go through the center.


correct_option_index: 10