options: Experiment with transformations in the plane.

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

Prove geometric theorems.

Prove theorems involving similarity.

Explain volume formulas and use them to solve problems.

Find arc lengths and areas of sectors of circles.

Reason with shapes and their attributes.

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.

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

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

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

Analyze, compare, create, and compose shapes.

Use coordinates to prove simple geometric theorems algebraically.

Apply geometric concepts in modeling situations.

Understand congruence in terms of rigid motions.

Define trigonometric ratios and solve problems involving right triangles.

Understand and apply theorems about circles.

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

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

Understand and apply the Pythagorean Theorem.

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

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

Make geometric constructions.

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

Apply trigonometry to general triangles.

Understand similarity in terms of similarity transformations.
problem_activity: Task
Below is a picture of a triangle $ABC$ on the coordinate grid.  The red lines are parallel to $\overleftrightarrow{BC}$:
[IMG]
Suppose $P = (1.2,1.6)$, $Q = (2,4)$, and $R = (2.4,5.2)$.
Find the coordinates of the points $u$, $v$, and $w$.


correct_option_index: 3

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