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

Prove geometric theorems.

Explain volume formulas and use them to solve problems.

Understand and apply the Pythagorean Theorem.

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

Define trigonometric ratios and solve problems involving right triangles.

Reason with shapes and their attributes.

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.

Understand and apply theorems about circles.

Prove theorems involving similarity.

Use coordinates to prove simple geometric theorems algebraically.

Understand congruence in terms of rigid motions.

Understand similarity in terms of similarity transformations.

Apply geometric concepts in modeling situations.

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

Find arc lengths and areas of sectors of circles.

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

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

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

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

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

Make geometric constructions.

Analyze, compare, create, and compose shapes.

Apply trigonometry to general triangles.

Solve real-world and mathematical problems involving area, surface area, and volume.
problem_activity: Task
Consider a circle with center $O$ and let $P\,$ be a point on the circle. Suppose $L$ is a tangent line to the circle at $P$,  that is $L$  meets the circle only at $P$.
[IMG]
Show that $\overline{OP}\,$ is perpendicular to $L$.


correct_option_index: 1

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