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

Understand and apply theorems about circles.

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

Analyze, compare, create, and compose shapes.

Use coordinates to prove simple geometric theorems algebraically.

Prove theorems involving similarity.

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

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

Prove geometric theorems.

Reason with shapes and their attributes.

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

Explain volume formulas and use them to solve problems.

Find arc lengths and areas of sectors of circles.

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

Understand similarity in terms of similarity transformations.

Apply geometric concepts in modeling situations.

Understand congruence in terms of rigid motions.

Define trigonometric ratios and solve problems involving right triangles.

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

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

Apply trigonometry to general triangles.

Experiment with transformations in the plane.

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

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.

Make geometric constructions.

Understand and apply the Pythagorean Theorem.
problem_activity: Translate the line segment formed by the endpoints
$${E(0, 2)}$$
$${F (1,-4)}$$
according to the rule
$${(x,y) \rightarrow (x+5, y+4)}$$
.
Find the endpoints of the translated image algebraically.
Verify the translation on the coordinate plane.
Show the translation vector on the coordinate plane.


correct_option_index: 16

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