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To find the coordinates A' and B' after dilation with a scale factor of 2 centered at the origin, we need to multiply the coordinates of A and B by 2.
A' = (2 * 3, 2 * 7) = (6, 14)
B' = (2 * 4, 2 * 9) = (8, 18)
So the correct answer is:
A' (6, 14) and B' (8, 18)