Dilation and Parallel Triangles

What is the center of dilation?

• (2, -1)

• (0, 0)

• (-2, 1)

• (-1, 2)

Tags

CCSS.8.G.A.3

Lance the alien is 5 feet tall.  His shadow is 8 feet long.  At the same time of day, a tree's shadow is 32 feet long.  What is the height of the tree?

• 20 feet

• 24 feet

• 29 feet

• 51 feet

Tags

CCSS.HSG.SRT.B.5

Given points A(1, -4) and B(-6, 3), find the coordinates of the image if the points are dilated by a scale factor of 2 with a center of C(1, -5).

• A'(5, -23) and B'(-9, -9)

• A'(1, -3) and B'(-13, 11)

• A'(2, -4) and B'(-11, 10)

• A'(3, 0) and B'(-10, 9)

Tags

CCSS.8.G.A.3

• A

• B

• C

• D

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

• 10

• 12

• 15

• 18

Tags

CCSS.HSG.SRT.B.4

The triangles are similar, solve for the question mark.

• 8

• 12.5

• 18

• 24

Tags

CCSS.HSG.SRT.B.4

Select ALL that apply.

• Trapezoid ABCD is similar to Trapezoid A'B'C'D'.

• Trapezoid ABCD is NOT similar to Trapezoid A'B'C'D'.

• The scale factor of the dilation is 1/2 and centered at the origin.

• The scale factor of the dilation is 2 and centered at the origin.

• The scale factor of the dilation is 3 and centered at the origin.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

What is the center of dilation?

• (1, 1)

• (3, 0)

• (-3, 0)

• (3, -2)

Tags

CCSS.8.G.A.3

Find side length X.

• 30

• 25

• 15

• 40

Tags

CCSS.HSG.SRT.A.2

Line A'B' will be the image of line AB under a dilation with a scale factor of 0.5 and a center at Point E. Which statements are true? Select ALL that apply.

• Line A'B' will be farther away from Point E than Line AB.

• Line A'B' will be parallel to Line AB.

• Line A'B' will be perpendicular to Line AB.

• Line A'B' will be closer to Point E than Line AB.

Tags

CCSS.HSG.CO.A.2