Determining a Scale Factor Answers

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Haseem was given the following enlargement. Figures not drawn to scale.What is the perimeter, in centimeters, of the enlarged triangle?

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A
13.5
B
27
C
49.5
D
63
2
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Anika was shown a reduction of a complex figure. Figures not drawn to scale.What can Anika conclude about the scale factor and missing measurements? Select three options.

Question illustration
A
The scale factor is 0.60.
B
The scale factor is 0.25.
C
The length of side A is 8.75 cm.
D
The length of side A is 21 cm.
E
The length of side B is 6.25 cm.
3

Consider the original triangle and its enlargement. Figures not drawn to scale.What is the scale factor?

Question illustration
A
2
B
5
C
7
D
10
4

Basil was shown this enlargement, and he was asked to find the perimeter of the enlarged shape. His work is shown below.Figures not drawn to scale.Basil’s WorkScale factorSide ASide B PerimeterWhere, if any, did Basil first make a mistake in his work?

Question illustration
A
Basil made a mistake finding the scale factor.
B
Basil made a mistake when finding the length of either side A or side B.
C
Basil made a mistake finding the perimeter.
D
Basil did not make any mistakes in his work.
5

Jordana was shown this diagram of an isosceles trapezoid and its reduction. She was asked to find the perimeter of the reduced trapezoid. Her work is shown below. Figures not drawn to scale.Jordana’s WorkScale factorSide ASide B PerimeterWhere, if any, did Jordana first make a mistake in her work?

Question illustration
A
Jordana made a mistake when finding the scale factor.
B
Jordana made a mistake when she calculated the length of side A.
C
Jordana made a mistake when she calculated the length of side B.
D
Jordana did not make any mistakes in her work.
6

Consider the original triangle and the scale drawing enlargement. Figures not drawn to scale.What is the scale factor?

Question illustration
A
2
B
3
C
4
D
8
8

Consider the original trapezoid and the reduction. Figures not drawn to scale.What is the length of side A, in centimeters, on the reduced trapezoid?

Question illustration
A
1
B
1.5
C
2
D
4.5
9

Which scale drawing of a triangle was created by using a scale factor of , if the original right triangle has a height of 16 cm and a base length of 12 cm? (The figures below are not drawn to scale.)

Question illustration
A
A triangle with base 3 centimeters and height 4 centimeters.
Option A
B
A triangle with base 3 centimeters and height 2 centimeters.
Option B
C
A triangle with base 6 centimeters and height 8 centimeters.
Option C
D
A triangle with base 12 centimeters and height 9 centimeters.
Option D
10

Helene was given the following enlargement of a triangle. What are the lengths of sides A and B?

Question illustration
A
A = 30 cm, B = 39 cm
B
A = 30 cm, B = 48 cm
C
A = 20 cm, B = 26 cm
D
A = 20 cm, B = 33 cm

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