options: Understand congruence in terms of rigid motions.

Understand similarity in terms of similarity transformations.

Prove theorems involving similarity.

Apply trigonometry to general triangles.

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

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

Find arc lengths and areas of sectors of circles.

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

Define trigonometric ratios and solve problems involving right triangles.

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

Experiment with transformations in the plane.

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

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

Understand and apply the Pythagorean Theorem.

Use coordinates to prove simple geometric theorems algebraically.

Understand and apply theorems about circles.

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

Apply geometric concepts in modeling situations.

Explain volume formulas and use them to solve problems.

Reason with shapes and their attributes.

Analyze, compare, create, and compose shapes.

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

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

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

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

Prove geometric theorems.

Make geometric constructions.
problem_activity: Suppose
$${{\overline{AB}}}$$
is a line segment and
D
is a point not on
$${{\overline{AB}}}$$
as pictured below.
[IMG]
Let
C
be the point so that
$${CD=AB}$$
,
$${\overleftrightarrow {CD} \parallel \overleftrightarrow {AB}}$$
and
ABCD
is a quadrilateral.
Draw
$${\overline {CD}}$$
using constructions.
Explain how you know that
$${\overleftrightarrow {CA} \parallel \overleftrightarrow {DB}}$$
.


correct_option_index: 10

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