Ask a New Question
Menu

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

1/2
Start Fraction 1 over 2 End Fraction

1 1/3
1 Start Fraction 1 over 3 End Fraction

1 2/3

1 answer

To determine the scale factor used by Randee to create the copy of the triangle, we need to compare the corresponding side lengths of the two triangles.

The side lengths of the first triangle (on the left) are:

  • Base = 18 inches
  • Side 1 = 10 inches
  • Side 2 = 15 inches

The side lengths of the second triangle (on the right) are:

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

To find the scale factor, we can take the ratio of the corresponding sides:

  1. Compare the longest sides:
  • Original longest side = 18 inches (base of the first triangle)
  • New longest side = 36 inches (base of the second triangle)

To find the scale factor: Scale factor = New longest side / Original longest side Scale factor = 36 inches / 18 inches Scale factor = 2

Thus, the scale factor used by Randee to create the copy on the right from the original on the left is 2.