Scale Factor — Unit test Answers

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1
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Norma Ann planned a rectangular courtyard, as shown in the scale drawing below.She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?

Question illustration
A
StartFraction 5 inches over 45 feet EndFraction
Option A
B
StartFraction 40 feet over 5 inches EndFraction
Option B
C
StartFraction 45 feet over 40 feet EndFraction
Option C
D
StartFraction 40 feet over 45 feet EndFraction
Option D
9

Kiesha and her classmates wrote proportions for the reduction of a triangle. Which proportions are set up correctly? Select three options.

Question illustration
A
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
Option A
B
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
Option B
C
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
Option C
D
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
Option D
E
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Option E
10

Kiesha and her classmates wrote proportions for the reduction of a triangle. Which proportions are set up correctly? Select three options.

Question illustration
A
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
Option A
B
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
Option B
C
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
Option C
D
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
Option D
E
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Option E
11

Which of the following statements are true for using proportions to solve for missing measures? Select three options.

A
Corresponding dimensions must be in different positions in the ratios.
B
Corresponding dimensions must be in the same position in the ratios.
C
The two ratios in the proportion are equal.
D
The enlargement or reduction is proportional to the original figure.
E
The scale factor will be different for each ratio.
12

The regular pentagon below is a scale drawing of an original pentagon that was made by using a scale factor of . If each side of the pentagon has the same measure, which applies to the original pentagon? Select three options.

Question illustration
A
The scale drawing represents a reduction.
B
Each side of the original is 22 inches long.
C
One side of the model can be 1.375 inches.
D
The scale drawing is proportional to the original.
E
The scale factor is multiplied by 5.5 to get the dimensions of the original.

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