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Gekata [30.6K]
2 years ago
9

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
Mathematics
1 answer:
AfilCa [17]2 years ago
3 0

Answer:

  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.

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