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

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

Understand and apply theorems about circles.

Experiment with transformations in the plane.

Apply trigonometry to general triangles.

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

Analyze, compare, create, and compose shapes.

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

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

Prove geometric theorems.

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

Prove theorems involving similarity.

Understand similarity in terms of similarity transformations.

Understand and apply the Pythagorean Theorem.

Understand congruence in terms of rigid motions.

Reason with shapes and their attributes.

Explain volume formulas and use them to solve problems.

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.

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

Use coordinates to prove simple geometric theorems algebraically.

Find arc lengths and areas of sectors of circles.

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

Apply geometric concepts in modeling situations.

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

Make geometric constructions.

Solve real-world and mathematical problems involving area, surface area, and volume.
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: 3

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