options: Reason with shapes and their attributes.

Use coordinates to prove simple geometric theorems algebraically.

Prove geometric theorems.

Experiment with transformations in the plane.

Apply trigonometry to general triangles.

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

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

Make geometric constructions.

Understand and apply the Pythagorean Theorem.

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

Understand similarity in terms of similarity transformations.

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

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

Explain volume formulas and use them to solve problems.

Analyze, compare, create, and compose shapes.

Prove theorems involving similarity.

Apply geometric concepts in modeling situations.

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

Define trigonometric ratios and solve problems involving right triangles.

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

Understand and apply theorems about circles.

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

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

Understand congruence in terms of rigid motions.

Find arc lengths and areas of sectors of circles.

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

Translate between the geometric description and the equation for a conic section.
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: 19