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

Explain volume formulas and use them to solve problems.

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 the Pythagorean Theorem.

Experiment with transformations in the plane.

Make geometric constructions.

Apply trigonometry to general triangles.

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

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.

Understand similarity in terms of similarity transformations.

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

Apply geometric concepts in modeling situations.

Understand congruence in terms of rigid motions.

Prove theorems involving similarity.

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

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

Understand and apply theorems about circles.

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

Prove geometric theorems.

Use coordinates to prove simple geometric theorems algebraically.

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

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

Reason with shapes and their attributes.

Analyze, compare, create, and compose shapes.

Draw, construct, and describe geometrical figures and describe the relationships between them.
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: 23