options: Explain volume formulas and use them to solve problems.

Analyze, compare, create, and compose shapes.

Understand and apply theorems about circles.

Reason with shapes and their attributes.

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

Prove geometric theorems.

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

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

Use coordinates to prove simple geometric theorems algebraically.

Apply trigonometry to general triangles.

Prove theorems involving similarity.

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).

Apply geometric concepts in modeling situations.

Define trigonometric ratios and solve problems involving right triangles.

Experiment with transformations in the plane.

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 similarity in terms of similarity transformations.

Understand and apply the Pythagorean Theorem.

Make geometric constructions.

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

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

Find arc lengths and areas of sectors of circles.

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

Understand congruence in terms of rigid motions.

Visualize relationships between two-dimensional and three-dimensional objects.
problem_activity: Problem 1
Geraldo is plotting points on the following coordinate plane.
[IMG]
Geraldo needs to plot the following four points:
(0.8, 12)
(1.6, 18)
(1, 30)
(2, 3)
Can he plot all of his points on the provided coordinate plane? How do you know?
What would be a point that he couldn't fit on the coordinate plane above? How do you know?
Problem 2
Determine the correct scale for the coordinate grid below so that all of the following points can be shown on it:
(12, 4)
(4,
$${1\over2}$$
)
(6,
$$3{1\over2}$$
)
(12,
$$2{1\over2}$$
)
(17, 4)
(16,
$$4{1\over4}$$
)
[IMG]


correct_option_index: 17