options: Experiment with transformations in the plane.

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

Define trigonometric ratios and solve problems involving right triangles.

Explain volume formulas and use them to solve problems.

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

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

Analyze, compare, create, and compose shapes.

Find arc lengths and areas of sectors of circles.

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

Apply geometric concepts in modeling situations.

Understand and apply the Pythagorean Theorem.

Understand and apply theorems about circles.

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

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

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

Understand congruence in terms of rigid motions.

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

Prove theorems involving similarity.

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

Reason with shapes and their attributes.

Use coordinates to prove simple geometric theorems algebraically.

Apply trigonometry to general triangles.

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

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

Understand similarity in terms of similarity transformations.

Make geometric constructions.

Prove geometric theorems.
problem_activity: Task
Is there an equilateral triangle $ABC$ so that  $\overline{AB}$ lies on the $x$-axis and $A$, $B$, and $C$ all have integer $x$ and $y$ coordinates?  Explain.


correct_option_index: 20