Question

Triangle D has been dilated to create triangle D′. Use the image to answer the question.

image of a triangle labeled D with side lengths of 12, 16, and 20 and a second triangle labeled D prime with side lengths of 6, 8, and 10

Determine the scale factor used.

Scale factor of one third
Scale factor of 3
Scale factor of one half
Scale factor of 2

Answer 1

(c) scale factor of 1/2

Explanation:

You want the scale factor that caused triangle D with sides 12, 16, 20 to be dilated to triangle D' with sides 6, 8, 10.

Scale factor

The scale factor is the ratio of image side lengths to the corresponding preimage side lengths:

D'/D = 6/12 = 1/2 . . . . . . ratio of shortest sides

The scale factor used is one-half (1/2), matching choice C.

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