options: 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.

Prove theorems involving similarity.

Use coordinates to prove simple geometric theorems algebraically.

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

Understand congruence in terms of rigid motions.

Experiment with transformations in the plane.

Understand similarity in terms of similarity transformations.

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

Define trigonometric ratios and solve problems involving right triangles.

Understand and apply theorems about circles.

Apply trigonometry to general triangles.

Make geometric constructions.

Explain volume formulas and use them to solve problems.

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

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

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

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

Understand and apply the Pythagorean Theorem.

Find arc lengths and areas of sectors of circles.

Apply geometric concepts in modeling situations.

Analyze, compare, create, and compose shapes.

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

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

Reason with shapes and their attributes.
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: 12