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

Reason with shapes and their attributes.

Use coordinates to prove simple geometric theorems algebraically.

Make geometric constructions.

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

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

Explain volume formulas and use them to solve problems.

Apply trigonometry to general triangles.

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

Prove theorems involving similarity.

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

Experiment with transformations in the plane.

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

Prove geometric theorems.

Analyze, compare, create, and compose shapes.

Apply geometric concepts in modeling situations.

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

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

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

Understand and apply theorems about circles.

Define trigonometric ratios and solve problems involving right triangles.

Find arc lengths and areas of sectors of circles.

Understand congruence in terms of rigid motions.

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

Understand and apply the Pythagorean Theorem.

Understand similarity in terms of similarity transformations.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.
problem_activity: Task
Below is a picture of a triangle on a coordinate grid:
[IMG]
Draw the reflection of $\triangle ABC$ over the line $x = -2$. Label
the image of $A$ as $A^\prime$, the image of $B$ as  $B^\prime$ and
the image of $C$ as $C^\prime$.
Draw the reflection of $\triangle A^{\prime}B^{\prime}C^\prime$ over the line $x = 2$. Label
the image of $A^\prime $ as $A^{\prime \prime}$, the image of $B^\prime$ as  $B^{\prime \prime}$ and
the image of $C^\prime$ as $C^{\prime \prime}$.
What single rigid transformation of the plane will map $\triangle ABC$ to
$\triangle A^{\prime \prime}B^{\prime \prime}C^{\prime \prime}$?  Explain.


correct_option_index: 18