To find the coordinates of the points A' and B' after dilation with a scale factor of 2 centered at the origin, we use the formula for dilation:
where
For point A(3, 7):
For point B(4, 9):
Thus, the coordinates after dilation are:
- A′(6, 14)
- B′(8, 18)
The correct option is: A′(6,14) and B′(8,18)