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

Understand and apply theorems about circles.

Prove geometric theorems.

Apply geometric concepts in modeling situations.

Explain volume formulas and use them to solve problems.

Understand and apply the Pythagorean Theorem.

Analyze, compare, create, and compose shapes.

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

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

Use coordinates to prove simple geometric theorems algebraically.

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

Define trigonometric ratios and solve problems involving right triangles.

Prove theorems involving similarity.

Find arc lengths and areas of sectors of circles.

Apply trigonometry to general triangles.

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

Understand similarity in terms of similarity transformations.

Make geometric constructions.

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

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

Reason with shapes and their attributes.

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

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

Experiment with transformations in the plane.

Understand congruence in terms of rigid motions.

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

Understand congruence and similarity using physical models, transparencies, or geometry software.
problem_activity: Task
Given a line segment with end points $A=(0,0)$ and $B=(6,8)$, find all points $C=(x, y)$ such that the triangle with vertices $A$, $B$, $C$ has an area of 20 square units.
What mathematical results did you apply to solve this problem?


correct_option_index: 9