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
113
1 Start Fraction 1 over 3 End Fraction
123
1 Start Fraction 2 over 3 End Fraction
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page 17 of 17
Based on the given information, we can find the scale factor by comparing the corresponding sides of the two triangles.
For the first triangle, the ratio of the longest side to the base is 15/18 = 5/6.
For the second triangle, the ratio of the longest side to the base is 36/30 = 6/5.
Since the second triangle is enlarged compared to the first triangle, the scale factor is the reciprocal of the ratio of the longest side to the base of the second triangle.
Therefore, the scale factor is 1/(6/5) = 5/6.
The correct answer is 5/6 or 1 1/6.