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
1 1/3
1 2/3
1/2
To find the scale factor used by Randee to create the copy on the right, we need to compare the lengths of corresponding sides in the two triangles.
In the original triangle on the left, the longest side has a length of 18 inches. In the copy on the right, the corresponding side has a length of 30 inches.
To find the scale factor, we divide the length of the corresponding side in the copy by the length of the corresponding side in the original:
Scale factor = Length of corresponding side in copy / Length of corresponding side in original
Scale factor = 30 inches / 18 inches
Simplifying the fraction, we get:
Scale factor = 5/3
Therefore, the scale factor Randee uses to create the copy on the right from the original on the left is 5/3, which is equivalent to 1 2/3.
So, the correct answer is 1 2/3.