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

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

Make geometric constructions.

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

Reason with shapes and their attributes.

Prove theorems involving similarity.

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

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

Use coordinates to prove simple geometric theorems algebraically.

Prove geometric theorems.

Experiment with transformations in the plane.

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

Analyze, compare, create, and compose shapes.

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

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

Define trigonometric ratios and solve problems involving right triangles.

Apply trigonometry to general triangles.

Understand similarity in terms of similarity transformations.

Explain volume formulas and use them to solve problems.

Understand congruence in terms of rigid motions.

Apply geometric concepts in modeling situations.

Find arc lengths and areas of sectors of circles.

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

Understand and apply the Pythagorean Theorem.

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

Understand and apply theorems about circles.

Visualize relationships between two-dimensional and three-dimensional objects.
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: 14