options: Apply geometric concepts in modeling situations.

Explain volume formulas and use them to solve problems.

Make geometric constructions.

Define trigonometric ratios and solve problems involving right triangles.

Prove theorems involving similarity.

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

Understand similarity in terms of similarity transformations.

Understand congruence in terms of rigid motions.

Understand and apply the Pythagorean Theorem.

Apply trigonometry to general triangles.

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

Experiment with transformations in the plane.

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

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

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

Find arc lengths and areas of sectors of circles.

Understand and apply theorems about circles.

Prove geometric theorems.

Use coordinates to prove simple geometric theorems algebraically.

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

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

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

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

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

Analyze, compare, create, and compose shapes.

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

Reason with shapes and their attributes.
problem_activity: Problem 1
Someone sorted some shapes as shown below.
[IMG]
a.   What is similar about the two groups of figures? What term(s) can we use to describe all of the shapes?
b.   What is different about the two groups of shapes?
Problem 2
Decide whether each of the following statements are true or false. If it is false, rewrite the statement so that it is true.
a.   A trapezoid is always a quadrilateral.
b.   A quadrilateral is never a trapezoid.


correct_option_index: 5