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

Understand and apply theorems about circles.

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

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

Explain volume formulas and use them to solve problems.

Understand similarity in terms of similarity transformations.

Make geometric constructions.

Define trigonometric ratios and solve problems involving right triangles.

Apply trigonometry to general triangles.

Find arc lengths and areas of sectors of circles.

Prove geometric theorems.

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

Understand congruence in terms of rigid motions.

Experiment with transformations in the plane.

Use coordinates to prove simple geometric theorems algebraically.

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

Analyze, compare, create, and compose shapes.

Understand and apply the Pythagorean Theorem.

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

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

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

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

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

Apply geometric concepts in modeling situations.

Prove theorems involving similarity.

Reason with shapes and their attributes.

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
problem_activity: Task
In the picture below, lines $l$ and $m$ are parallel. The measure of angle $\angle PAX$ is $31^\circ$, and the measure of angle $\angle PBY$ is $54^\circ$. What is the measure of angle $\angle APB$?
[IMG]


correct_option_index: 19