options: Understand and apply the Pythagorean Theorem.

Prove theorems involving similarity.

Understand similarity in terms of similarity transformations.

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

Find arc lengths and areas of sectors of circles.

Apply trigonometry to general triangles.

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

Use coordinates to prove simple geometric theorems algebraically.

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

Explain volume formulas and use them to solve problems.

Analyze, compare, create, and compose shapes.

Prove geometric theorems.

Apply geometric concepts in modeling situations.

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

Reason with shapes and their attributes.

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

Understand and apply theorems about circles.

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

Make geometric constructions.

Define trigonometric ratios and solve problems involving right triangles.

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

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

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

Understand congruence in terms of rigid motions.

Experiment with transformations in the plane.

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

Solve real-world and mathematical problems involving area, surface area, and volume.
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: 8