options: 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.

Use coordinates to prove simple geometric theorems algebraically.

Experiment with transformations in the plane.

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

Understand and apply theorems about circles.

Prove theorems involving similarity.

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

Understand and apply the Pythagorean Theorem.

Make geometric constructions.

Define trigonometric ratios and solve problems involving right triangles.

Prove geometric theorems.

Analyze, compare, create, and compose shapes.

Find arc lengths and areas of sectors of circles.

Understand congruence in terms of rigid motions.

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

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

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

Explain volume formulas and use them to solve problems.

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

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

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

Apply geometric concepts in modeling situations.

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

Apply trigonometry to general triangles.

Solve real-world and mathematical problems involving area, surface area, and volume.
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: 1

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