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To find the coordinates of A', B', and C' after a dilation with a scale factor of 3 and a center point of dilation at the origin, we need to multiply the x and y coordinates of each point by the scale factor.
For point A (-2, -2):
A' = (3*(-2), 3*(-2))
A' = (-6, -6)
For point B (-4, -3):
B' = (3*(-4), 3*(-3))
B' = (-12, -9)
For point C (-2, -5):
C' = (3*(-2), 3*(-5))
C' = (-6, -15)
Therefore, the coordinates of A', B', and C' after the dilation are:
A' = (-6, -6)
B' = (-12, -9)
C' = (-6, -15)