Changing a Scale — Unit test Answers

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Gigi makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes.Which shows the correct dimensions of the rectangle in both scales?

Question illustration
A
Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft
B
Scale 1: 56 ft by 25 ft; Scale 2: 35 ft by 40 ft
C
Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft
D
Scale 1: 56 ft by 40 ft; Scale 2: 35 ft by 25 ft
3

The scale on a map shows that 2 inches represents 15 miles. Which proportion can be used to find the actual distance, x, represented by 30 inches on the map?

A
StartFraction 2 over 15 EndFraction = StartFraction 30 over x EndFraction
Option A
B
StartFraction 2 over 15 EndFraction = StartFraction x over 30 EndFraction
Option B
C
StartFraction 15 over 30 EndFraction = StartFraction 2 over x EndFraction
Option C
D
StartFraction 15 over 30 EndFraction = StartFraction x over 2 EndFraction
Option D
13

Devon made a scale drawing of a triangle. He used a scale factor of to draw the new triangle. How does each side of the new triangle compare to the original?

Question illustration
A
Each side of the new triangle is the length of each side of the original
Option A
B
Each side of the new triangle is the length of each side of the original
Option B
C
Each side of the new triangle is 4 times the length of each side of the original
D
Each side of the new triangle is 12 times the length of each side of the original
16

A picture is photocopied by using a scale factor of 2. Each side of the photocopy of the picture is

Question illustration
e
enlarged by a factor of 2.
e
enlarged by a factor of .
Option e
r
reduced by a factor of 2.
r
reduced by a factor of .
Option r
17

The distance between the library and the grocery store is 4 centimeters on the map. The actual distance is 12 kilometers. What is the scale of the map?

A
1 centimeter = 3 kilometers
B
1 centimeter = kilometer
Option B
C
4 centimeters = 1 kilometer
D
12 centimeters = 1 kilometer

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