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

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

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

Understand and apply theorems about circles.

Understand and apply the Pythagorean Theorem.

Experiment with transformations in the plane.

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

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

Find arc lengths and areas of sectors of circles.

Analyze, compare, create, and compose shapes.

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

Understand congruence in terms of rigid motions.

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

Make geometric constructions.

Apply trigonometry to general triangles.

Understand similarity in terms of similarity transformations.

Prove theorems involving similarity.

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.

Reason with shapes and their attributes.

Prove geometric theorems.

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

Explain volume formulas and use them to solve problems.

Use coordinates to prove simple geometric theorems algebraically.

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

Define trigonometric ratios and solve problems involving right triangles.

Apply geometric concepts in modeling situations.
problem_activity: A vase in the shape of a rectangular prism measures
$$9\frac{1}{2}$$
inches tall, and has a
$$4$$
inch square base.
a.   If the vase is filled
$$\frac{3}{4}$$
of the way with water, how much water is in the vase?
b.   The vase came in a cardboard box. Each dimension of the box was
$$\frac{1}{2}$$
inch greater than the dimensions of the vase. How much cardboard was used to make the box?


correct_option_index: 10