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

Reason with shapes and their attributes.

Understand similarity in terms of similarity transformations.

Apply geometric concepts in modeling situations.

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

Prove theorems involving similarity.

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

Prove geometric theorems.

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

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

Find arc lengths and areas of sectors of circles.

Define trigonometric ratios and solve problems involving right triangles.

Understand and apply theorems about circles.

Analyze, compare, create, and compose shapes.

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

Use coordinates to prove simple geometric theorems algebraically.

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

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

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

Explain volume formulas and use them to solve problems.

Apply trigonometry to general triangles.

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

Understand congruence in terms of rigid motions.

Experiment with transformations in the plane.

Understand and apply the Pythagorean Theorem.

Make geometric constructions.

Visualize relationships between two-dimensional and three-dimensional objects.
problem_activity: Starting at the origin, a ladybug walked 4 units east. Then she walked a distance of 3 units in an unknown direction. At that time, she was 30 degrees to the north of her original walking direction.
The diagram shows one possibility for the ladybug’s final location. Find a different final location that is also consistent with the given information, and draw the ladybug there.
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correct_option_index: 0