options: Apply trigonometry to general triangles.

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

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

Reason with shapes and their attributes.

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

Define trigonometric ratios and solve problems involving right triangles.

Use coordinates to prove simple geometric theorems algebraically.

Understand similarity in terms of similarity transformations.

Experiment with transformations in the plane.

Make geometric constructions.

Explain volume formulas and use them to solve problems.

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

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

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

Apply geometric concepts in modeling situations.

Find arc lengths and areas of sectors of circles.

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.

Understand and apply the Pythagorean Theorem.

Understand and apply theorems about circles.

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

Prove geometric theorems.

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

Prove theorems involving similarity.

Understand congruence in terms of rigid motions.

Analyze, compare, create, and compose shapes.

Translate between the geometric description and the equation for a conic section.
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: 13