Select the coordinates A' and B' after dilation of line segment AB, with a scale factor of 2 centered at the origin where endpoints are A(3,7) and B(4,9)

To find the coordinates A' and B' after dilation, we need to multiply the coordinates of A and B by the scale factor of 2.

For point A:
A' = (2 * x-coordinate of A, 2 * y-coordinate of A)
A' = (2 * 3, 2 * 7)
A' = (6, 14)

For point B:
B' = (2 * x-coordinate of B, 2 * y-coordinate of B)
B' = (2 * 4, 2 * 9)
B' = (8, 18)

Therefore, the coordinates of A' are (6, 14) and the coordinates of B' are (8, 18).