options: Understand and apply the Pythagorean Theorem.

Understand similarity in terms of similarity transformations.

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

Find arc lengths and areas of sectors of circles.

Define trigonometric ratios and solve problems involving right triangles.

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

Understand congruence in terms of rigid motions.

Reason with shapes and their attributes.

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

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

Apply geometric concepts in modeling situations.

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

Prove geometric theorems.

Experiment with transformations in the plane.

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

Explain volume formulas and use them to solve problems.

Understand and apply theorems about circles.

Prove theorems involving similarity.

Apply trigonometry to general triangles.

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

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

Analyze, compare, create, and compose shapes.

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

Make geometric constructions.

Use coordinates to prove simple geometric theorems algebraically.

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

Visualize relationships between two-dimensional and three-dimensional objects.
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: 17

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