3-8 Dilations & Similar Figures

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

What is the center of dilation?

• (2, -1)

• (0, 0)

• (-2, 1)

• (-1, 2)

Tags

CCSS.HSG.CO.A.2

State the postulate that proves these triangles are similar and give the similarity statement.

• SSS and Triangle CBA ~ Triangle FGH

• SAS and Triangle CBA ~ Triangle FGH

• AA and Triangle CBA ~ Triangle FGH

• SSS and Triangle CBA ~ Triangle FHG

• SAS and Triangle CBA ~ Triangle FHG

Tags

CCSS.HSG.SRT.B.5

Solve for x.

• 4

• 2

• 6

• 7

Tags

CCSS.8.G.A.5

Which of the following is NOT true about similar figures?

• Similar figures always have the same shape.

• Similar figures always have the same size.

• Similar figures always have corresponding angles that are equal.

• Similar figures always have corresponding sides that are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

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

• 4 ft
• 6.25 ft
• 1.25 ft
• 5.75 ft

Tags

CCSS.HSG.CO.C.9

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

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.D.10

CCSS.HSG.SRT.D.11

State the postulate that proves these triangles are similar and give the similarity statement.

• SSS and Triangle JKL ~ Triangle TUV

• AA and Triangle JKL ~ Triangle UTV

• SAS and Triangle JKL ~ Triangle TUV

• SSS and Triangle JKL ~ Triangle UTV

• AA and Triangle JKL ~ Triangle TUV

Tags

CCSS.HSG.SRT.B.5