options: Understand similarity in terms of similarity transformations.

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

Define trigonometric ratios and solve problems involving right triangles.

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

Apply geometric concepts in modeling situations.

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

Apply trigonometry to general triangles.

Explain volume formulas and use them to solve problems.

Find arc lengths and areas of sectors of circles.

Prove theorems involving similarity.

Understand and apply theorems about circles.

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

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

Analyze, compare, create, and compose shapes.

Use coordinates to prove simple geometric theorems algebraically.

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

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

Understand and apply the Pythagorean Theorem.

Experiment with transformations in the plane.

Understand congruence in terms of rigid motions.

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

Prove geometric theorems.

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

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.

Make geometric constructions.

Reason with shapes and their attributes.
problem_activity: Problem 1
Below is triangle
$${\triangle ABC}$$
. Rotate this shape five times clockwise about the origin.
[IMG]
Problem 2
Which one doesn't belong? Give a reason why each of the quadrants does not belong with the rest.
[IMG]
Problem 3
Suppose
$${{{ABCD}}}$$
is a quadrilateral for which there is exactly one rotation, through an angle larger than 0 degrees and less than 360 degrees, which maps to itself.  Further, no reflections map
$${{{ABCD}}}$$
to itself.
What shape is
$${{{ABCD}}}$$
?


correct_option_index: 18

19