AnswersBasic Geometry IIDetermining a Scale Factor

Determining a Scale Factor Answers

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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.
5

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
6

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
J
Jordana made a mistake when finding the scale factor.
J
Jordana made a mistake when she calculated the length of side A.
J
Jordana made a mistake when she calculated the length of side B.
J
Jordana did not make any mistakes in her work.
7

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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