options: Prove theorems involving similarity.

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.

Reason with shapes and their attributes.

Apply geometric concepts in modeling situations.

Understand and apply theorems about circles.

Apply trigonometry to general triangles.

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

Understand similarity in terms of similarity transformations.

Understand and apply the Pythagorean Theorem.

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

Find arc lengths and areas of sectors of circles.

Prove geometric theorems.

Use coordinates to prove simple geometric theorems algebraically.

Make geometric constructions.

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

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

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

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

Analyze, compare, create, and compose shapes.

Experiment with transformations in the plane.

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

Understand congruence in terms of rigid motions.

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

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

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

Explain volume formulas and use them to solve problems.
problem_activity: Problem 1
In the diagram below,
$$\angle CAB$$
is a central angle,
$$\angle CDB$$
is an inscribed angle, and
$$\widehat{CB}$$
is an intercepted arc.
[IMG]
What do you notice about the inscribed angle and the central angle in relation to the intercepted arc?
The two diagrams below also show that
$$\angle CAB$$
is a central angle,
$$\angle CDB$$
is an inscribed angle, and
$$\widehat{CB}$$
is an intercepted arc.
[IMG]
What is the definition of an inscribed angle and an intercepted arc?
Problem 2
What is the angle measure that represents
$$\widehat{EB}$$
?
[IMG]
Problem 3
Given that
$$\triangle BCD$$
is inscribed in circle
$$A$$
, determine the relationship between
$$\angle t$$
and
$$\angle y$$
.
[IMG]


correct_option_index: 5