Scale Factor Answers

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Clarissa made a scale drawing of a rectangle. She used a scale factor of 3 to draw the new rectangle. How does the length of the new rectangle compare to the original?

A
The length of the new rectangle is the length of the original.
Option A
B
The length of the new rectangle is the length of the original.
Option B
C
The length of the new rectangle is 3 times the length of the original.
D
The length of the new rectangle is 12 times the length of the original.
2
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The square represents a scale model that was created by using a factor of 4. Which is true of the measures of the sides of the original square?

Question illustration
A
Each side of the original square is the length of each side of the scale model.
Option A
B
Each side of the original square is 4 times the length of each side of the scale model.
C
Each side of the original square is the same length as each side of the scale model.
D
Each side of the original square is 4 feet less than the scale model.
3

Each side of the regular hexagon below has the same measure.If a model of the hexagon is made by using a scale factor of 6, which applies to the model? Select two options.

Question illustration
A
The model represents a reduction.
B
Each side of the model is 15 feet long.
C
The model is proportional to the original hexagon.
D
One side of the model can be 8.5 feet.
E
The scale factor is divided by 2.5 to get the dimensions of the model.
4

Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of to make his sketch. How many inches wide is Yuron’s sketch?

Question illustration
A
36
B
48
C
81
D
84
5

Aanya made a scale drawing of a picture. The original dimensions of the picture are 8 inches by 12 inches. Which choice shows a possible combination for the dimensions in Aanya’s drawing?

A
3 inches by 4 inches
B
6 inches by 9 inches
C
16 inches by 36 inches
D
24 inches by 32 inches
6

Beth is designing a card. She brings to a print shop a drawing that is 6 inches by 3 inches, and asks them to print the card after applying a scale factor of . When she returns to the print shop, they hand her a box of cards, each of which is 9 inches by 13 inches, which is incorrect.What should be the correct dimensions of the card?

Question illustration
A
The scale factor is a reduction, and the new card should be 4 in x 2 in.
B
The scale factor is a reduction, and the new card should be 4 in x 6 in.
C
The scale factor is for an enlargement, and the print shop created the right size card.
D
The scale factor is for an enlargement, but the print shop should have made the card 9 in by 6 in.
7

The triangle represents a scale drawing that was created by using a factor of . Which is true of the measures of the sides of the original triangle?

Question illustration
A
Each side of the original triangle is the length of each side of the scale drawing.
Option A
B
Each side of the original triangle is 2 times the length of each side of the scale drawing.
C
Each side of the original triangle is the same length as each side of the scale drawing.
D
Each side of the original triangle is 2 inches shorter than the scale drawing.
8

The diagram represents a reduction of a triangle by using a scale factor of 0.8. What is the height of the reduced triangle?

Question illustration
A
4.0 inches
B
4.8 inches
C
5.2 inches
D
7.5 inches
9

The diagram represents an enlargement of a rectangle by a scale factor of 4. What are the dimensions of the enlarged rectangle?

Question illustration
A
1 inch by inch
Option A
B
8 inches by 6 inches
C
16 inches by inch
Option C
D
16 inches by 8 inches
10

Fabian used a ratio table to show the original dimensions of a rectangle and the dimensions when the rectangle is changed by a scale factor. He forgot to enter the length of the new rectangle.Scale factor12.5Width615Length9 Which length is missing from Fabian’s table?

A
3.6
B
11.5
C
21.6
D
22.5

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