Question

Triangle JKL was dilated using the rule D Subscript M, one-third. The image, triangle J'K'L', is the result of the dilation.

Point M is the center of dilation. Triangle J K L is dilated to form smaller triangle J prime K prime L prime. The length of M L prime is 2.5.

What is L'L?

5 units
7.5 units
10 units
12.5 units

Answer 1

Under a dilation with scale factor 1/3, ML' = (1/3)ML. Given ML' = 2.5, so ML = 3(2.5) = 7.5. Then L'L = ML − ML' = 7.5 − 2.5 = 5.

Answer: 5 units.