options: Understand and apply the Pythagorean Theorem.

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

Experiment with transformations in the plane.

Find arc lengths and areas of sectors of circles.

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

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

Reason with shapes and their attributes.

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

Prove geometric theorems.

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

Define trigonometric ratios and solve problems involving right triangles.

Make geometric constructions.

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

Apply geometric concepts in modeling situations.

Explain volume formulas and use them to solve problems.

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

Understand similarity in terms of similarity transformations.

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

Apply trigonometry to general triangles.

Understand and apply theorems about circles.

Understand congruence in terms of rigid motions.

Use coordinates to prove simple geometric theorems algebraically.

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

Prove theorems involving similarity.

Analyze, compare, create, and compose shapes.
problem_activity: Problem 1
The Law of Cosines states that:
Given
$${\triangle ABC}$$
,
[IMG]
What measurements of a triangle make the most sense to use the Law of Cosines?
Problem 2
For each of the triangles below, would you use the Law of Sines, Law of Cosines, or Pythagorean theorem to find the value of
$$x$$
? Explain your reasoning
[IMG]
[IMG]
[IMG]


correct_option_index: 18