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Answer:
(a) A'(-2, 1), B'(-4, -3), C'(-7, 0)
Explanation:
If X is the center of rotation, the coordinates of point P are transformed like this:
P' = -(P -X) +X
P' = 2X -P
(x, y) ⇒ (2(-5) -x, 2(3) -y)
(x, y) ⇒ (-10-x, 6-y)
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Your points are transformed to ...
A(-8, 5) ⇒ (-10-(-8), 6-5) = A'(-2, 1)
B(-6, 9) ⇒ (-10-(-6), 6-9) = B'(-4, -3)
C(-3, 6) ⇒ (-10-(-3), 6-6) = C'(-7, 0)
These coordinates match the first choice.