To find the coordinates of the points A' and B' after dilating the points A(3, 7) and B(4, 9) with a scale factor of 2, centered at the origin, we will multiply each coordinate of the points by the scale factor.
For point A(3, 7):
- A' = (3 * 2, 7 * 2) = (6, 14)
For point B(4, 9):
- B' = (4 * 2, 9 * 2) = (8, 18)
Thus, the coordinates after dilation are:
- A' = (6, 14)
- B' = (8, 18)