Question

ΔABC is dilated by a scale factor of 0.25 with the origin as the center of dilation, resulting in the image ΔA′B′C′. If A = (-1, -5), B = (2, 1), and C = (14, 17 ), what is the length of B'C'? Select one: a. d = 15.25 b. d = 20 c. d = 5 d. d = 15

Answer 1

c. d = 5

Explanation:

The difference in coordinates B and C is (14, 17) -(2, 1) = (12, 16). When the figure is scaled by 0.25, that difference becomes ...

0.25(12, 16) = (3, 4)

The length of a line segment with those coordinate differences is ...

d = √(3² +4²) = √25 = 5 . . . . matches selection c.