options: Analyze, compare, create, and compose shapes.

Prove geometric theorems.

Prove theorems involving similarity.

Understand congruence in terms of rigid motions.

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

Understand similarity in terms of similarity transformations.

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

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

Reason with shapes and their attributes.

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

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

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

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

Understand and apply the Pythagorean Theorem.

Make geometric constructions.

Apply geometric concepts in modeling situations.

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

Find arc lengths and areas of sectors of circles.

Understand and apply theorems about circles.

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

Apply trigonometry to general triangles.

Explain volume formulas and use them to solve problems.

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

Use coordinates to prove simple geometric theorems algebraically.

Define trigonometric ratios and solve problems involving right triangles.

Experiment with transformations in the plane.

Graph points on the coordinate plane to solve real-world and mathematical problems.
problem_activity: Task
Decide whether each of these statements is always, sometimes, or never true.  If it is sometimes true, draw and describe a figure for which the statement is true and another figure for which the statement is not true.
A rhombus is a square
A triangle is a parallelogram
A square is a parallelogram
A square is a rhombus
A parallelogram is a rectangle
A trapezoid is a quadrilateral


correct_option_index: 6