Proportions & Scale Factors Quick Check
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Question
Use the image to answer the question.
An illustration shows two triangles positioned differently. The first triangle has its longest side along the baseline. The second triangle has its longest side in the upper left, and the triangle is tilted upward to the right. The first triangle has a base of 18 inches and sides as 10 inches and 15 inches. The second triangle shows three sides as 30 inches, 36 inches, and 20 inches.
Randee draws these two triangles with lengths given in centimeters. What scale factor does she use to create the copy on the right from the original on the left?
(1 point)
Responses
2
2
12
Start Fraction 1 over 2 End Fraction
123
1 Start Fraction 2 over 3 End Fraction
113
1 Start Fraction 1 over 3 End Fraction
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page 17 of 17
To determine the scale factor, we need to compare corresponding lengths in the two triangles.
In the original triangle, the longest side is 18 inches. In the second triangle, the longest side is 30 inches.
To find the scale factor, we divide the length of the longest side in the second triangle by the length of the longest side in the original triangle:
30 inches / 18 inches = 5/3
Since the lengths are given in centimeters, the scale factor is 5/3 or 1 2/3.
Therefore, the correct answer is: 123, 1 2/3.