Module 8 Review Day 2

For what value of x is ABCDE ∼ PQRST?

• 1

• 2

• 2.5

• 3

Find the value of x.

• 4

• 4.8

• 5.7

• 6.3

Jeremy stands so that his shadow and the shadow cast by a flag pole end at the same point. If Jeremy is exactly 74 inches tall, what is the height of the flagpole in feet?

• 8 feet

• 10 feet

• 19 feet

• 14 feet

A dilation maps rectangle RSTU onto rectangle R'S'T'U'. What is the similarity ratio of the dilation?

• 1/2

• 2

• 1/4

• 4

If NP bisects ∠MNO, what is the measure of MP?

• 6

• 12

• 9

• 10

Triangle ABC has vertices A(0, 2), B(4, 6), and C(8, 4). A dilation with its center at (0, 0) maps triangle ABC onto triangle A'B'C' with a scale factor of 2. What are the coordinates of A'?

• (0, 1)

• (0, 4)

• (0, 0)

• (0, 2)

In the figure, ∆ABC can be mapped onto ∆FDE by using a series of dilations and rigid motions. Which similarity postulate can be used to prove that ∆ABC ∼ ∆FDE?

• AA Similarity Postulate

• SSS Similarity Theorem

• SAS Similarity Theorem

• ASA Similarity Postulate

What property do dilations and rigid motions preserve?

• Side length

• Angle measure

• Area

• Volume

In the figure, triangle ABC~DEF. If AP and DQ are altitudes, AP = 8, DQ = 10, and DE = 14, what is AB?

• 11.2

• 12.6

• 11.4

• 13.0

XY and XZ are midsegments of triangle RST. What are the lengths of TS and XZ?

• TS = 14, XZ = 7

• TS = 13, XZ = 6.5

• TS = 14, XZ = 6.5

• TS = 13, XZ = 7