options: Prove geometric theorems.

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

Find arc lengths and areas of sectors of circles.

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

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

Understand similarity in terms of similarity transformations.

Reason with shapes and their attributes.

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

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

Understand and apply theorems about circles.

Experiment with transformations in the plane.

Apply geometric concepts in modeling situations.

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

Make geometric constructions.

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

Define trigonometric ratios and solve problems involving right triangles.

Analyze, compare, create, and compose shapes.

Apply trigonometry to general triangles.

Understand and apply the Pythagorean Theorem.

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

Explain volume formulas and use them to solve problems.

Understand congruence in terms of rigid motions.

Prove theorems involving similarity.

Use coordinates to prove simple geometric theorems algebraically.

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

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

Draw and identify lines and angles, and classify shapes by properties of their lines and angles.
problem_activity: Task
Below are pictures of an equilateral triangle, a square, a regular hexagon, and a circle each having
the same perimeter:
[IMG]
Find the area of the equilateral triangle whose perimeter is $1$ unit.
Find the area of the square whose perimeter is $1$ unit.
Find the area of the regular hexagon whose perimeter is one unit.
Find the area of the circle whose perimeter is $1$ unit.
List the answers to (a), (b), (c) and (d) in increasing size.  How do you think the area of a regular octagon with perimeter $1$ unit would compare to the
triangle, square, hexagon, and circle?


correct_option_index: 18