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

  c.  d = 5

Step-by-step 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.

33

step-by-step explanation: g=6