AnswersPre-Algebra - MA3119 A Distance LearningDetermining a Scale Factor

Determining a Scale Factor Answers

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1
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Luka was given an enlargement of a wooden block. Which statements about the original figure and its enlargement are true? Select three options.

Question illustration
A
The scale factor of this enlargement is 2.
B
The scale factor of this enlargement is .
Option B
C
The length of side A can be found by multiplying 24 mm by the scale factor.
D
The length of side A can be found by dividing 24 mm by the scale factor.
E
The length of side A is 12 mm.
2
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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
3

Consider the original parallelogram and its reduction. Figures not drawn to scale.What is the scale factor?

Question illustration
A
One-sixth
Option A
B
One-third
Option B
C
3
D
6
4

Mya was given the following reduction of a rectangle. Mya calculated the scale factor to be . What error, if any, could Mya have made when she calculated the scale factor?

Question illustration
A
Mya only used the dimensions from the scale drawing of a rectangle.
B
Mya used the 10 ft side and the 8 ft side as corresponding sides.
C
Mya divided the dimensions, instead of multiplying them, to find the scale factor.
D
Mya did not make an error when she calculated the scale factor.
5

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
6

Consider the original parallelogram and the reduction. Figures not drawn to scale. What is the length of side A in the new parallelogram?

Question illustration
A
2 cm
B
9 cm
C
90 cm
D
162 cm
7

Consider the original trapezoid and the enlargement. What is the length of side A, in centimeters, on the enlarged trapezoid?

Question illustration
A
4
B
6
C
12
D
20
8

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
9

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
10

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

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