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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

113
1 Start Fraction 1 over 3 End Fraction

12
Start Fraction 1 over 2 End Fraction

2
2

123
1 Start Fraction 2 over 3 End Fraction

1 answer

To find the scale factor between the two triangles, we need to compare the corresponding sides of both triangles.

For the first triangle:

  • Longest side: 18 inches
  • Other sides: 10 inches and 15 inches

For the second triangle:

  • Longest side: 36 inches
  • Other sides: 30 inches and 20 inches

Let's compare the longest sides first:

Scale factor = Length of second triangle's longest side / Length of first triangle's longest side
Scale factor = 36 inches / 18 inches = 2

This means that Randee uses a scale factor of 2 to create the copy on the right from the original on the left.

Thus, the answer is 2.