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

Understand and apply the Pythagorean Theorem.

Apply trigonometry to general triangles.

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

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

Analyze, compare, create, and compose shapes.

Understand and apply theorems about circles.

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

Experiment with transformations in the plane.

Apply geometric concepts in modeling situations.

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

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

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

Prove theorems involving similarity.

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

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

Define trigonometric ratios and solve problems involving right triangles.

Find arc lengths and areas of sectors of circles.

Explain volume formulas and use them to solve problems.

Understand similarity in terms of similarity transformations.

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

Understand congruence in terms of rigid motions.

Prove geometric theorems.

Make geometric constructions.

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

Reason with shapes and their attributes.

Use coordinates to prove simple geometric theorems algebraically.
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: 7