options: Understand and apply theorems about circles.

Find arc lengths and areas of sectors of circles.

Apply geometric concepts in modeling situations.

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

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

Explain volume formulas and use them to solve problems.

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

Understand similarity in terms of similarity transformations.

Prove geometric theorems.

Make geometric constructions.

Reason with shapes and their attributes.

Understand and apply the Pythagorean Theorem.

Apply trigonometry to general triangles.

Define trigonometric ratios and solve problems involving right triangles.

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

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

Prove theorems involving similarity.

Analyze, compare, create, and compose shapes.

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

Understand congruence in terms of rigid motions.

Use coordinates to prove simple geometric theorems algebraically.

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

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

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

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

Experiment with transformations in the plane.

Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
problem_activity: Problem 1
Describe whether the following statement is always, sometimes, or never true:
“If you reflect a figure across two parallel lines, the result can be described with a single translation rule.”
Problem 2
Describe whether the following statement is always, sometimes, or never true:
“The reflection of a figure over two unique lines of reflection can be described by a rotation.”
Problem 3
Johnny says three rotations of
$${90^{\circ}}$$
about the center of the figure is the same as three reflections with lines that pass through the center, so a figure with order 4 rotational symmetry results in a figure that also has reflectional symmetry.
Describe, using evidence from the two drawings below, to support or refute Johnny’s statement.
[IMG]


correct_option_index: 19

25