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

Prove geometric theorems.

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

Apply geometric concepts in modeling situations.

Apply trigonometry to general triangles.

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

Define trigonometric ratios and solve problems involving right triangles.

Reason with shapes and their attributes.

Understand and apply the Pythagorean Theorem.

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

Understand similarity in terms of similarity transformations.

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

Find arc lengths and areas of sectors of circles.

Understand congruence in terms of rigid motions.

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

Experiment with transformations in the plane.

Explain volume formulas and use them to solve problems.

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

Understand and apply theorems about circles.

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.

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

Use coordinates to prove simple geometric theorems algebraically.

Analyze, compare, create, and compose shapes.

Make geometric constructions.

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

Prove theorems involving similarity.
problem_activity: Problem 1
This slider
shows a triangle dilated using different scale factors.
Slide the point to the right and to the left.
What do you notice as you change the scale factor of this figure?
Problem 2
Below is
$${{\overline{BC}}}$$
, with a length of
$$5$$
units and its dilation about the point
$$O$$
,
$${\overline{B'C'}}$$
.
[IMG]
What is the scale factor used to dilate
$${{\overline{BC}}}$$
?
What is the relationship between
$$\overline{BO}$$
and
$$\overline{B'O}$$
? Why does this make sense?
Problem 3
Dilate the following figure using constructions about center
$$A$$
by a factor of
$$3$$
.
[IMG]


correct_option_index: 10

15