Unit 8B Review

Triangle ABC has vertices A(2,3), B(4,10), and C(6,2). If ABC is dilated with a center at the origin by a factor of 1/3, what will the coordinate of C' be?

• (18,6)

• (2,2/3)

• (6.3,2.3)

• (2/3,1)

Tags

CCSS.8.G.A.3

Rectangle ABCD has vertices A(-4,8), B(5,8), C(-4,-12), D(5,-12). After a dilation centered about the origin, C' is at (-2,-6). What will the coordinate of D' be?

• (5/2,4)

• (-2,4)

• (10,-24)

• (5/2,-6)

Tags

CCSS.8.G.A.3

A man is standing near a power line pole as shown in the image below. The bottom of the support wire of the pole is 10.5 feet from its base. The man is six feet tall. When the man’s head touches the support wire, his feet are 4.5 feet from the end of the wire. Both the man and the pole are perpendicular to the ground. How tall is the power line pole?

• 14 ft

• 15 ft

• 16 ft

• 17 ft

• 18 ft

Tags

CCSS.8.G.B.8

A triangle enthusiast is building a scale model replica of a life-size triangle action figure he owns. The triangles will be similar. The base of the original triangle is 4 feet. If the height of the model is 27 inches and the base is 18 inches, how tall is the original triangle?

• 3 feet

• 4 feet

• 5 feet

• 6 feet

• 7 feet

Tags

CCSS.HSG.SRT.A.2

Triangles ABC and DEF are similar. What is the value of x? Round to the nearest tenth.

• 28.2

• 10.1

• 43.6

• 16.7

Tags

CCSS.HSG.SRT.A.2

Line m has the equation y = 2x + 8. Line n is the result of dilating n about the point (0,2) with a scale factor of 3. What are the slope and y-intercept of line n?

• Slope: 2

  y-intercept: 20

• Slope: 2

  y-intercept: 24

• Slope: 2

  y-intercept: 8

• Slope: 3

  y-intercept: 8

Triangle N' is the result of dilating triangle N. What is the center of dilation?

• A

• B

• C

• D

Tags

CCSS.8.G.A.3

Triangle N' is the result of dilating triangle N. What is the scale factor?

• 2

• 1/2

• 3

• 1/3

Tags

CCSS.8.G.A.3

In triangle XYZ, m∠X = 30° and m∠Y = 60°. Which triangles will be similar to XYZ? Select all that apply.

• Triangle ABC, where angle A is 30° and angle C is 90°

• Triangle DEF, where angle D is 30° and angle E is 90°

• Triangle GHI, where angle H is 60° and angle I is 90°

• Triangle KLM, where angle K is 90° and angle M is 30°

Tags

CCSS.HSG.SRT.A.2

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75
• 9.75
• 10
• 12

Tags

CCSS.HSG.SRT.A.2