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

To find the coordinates A' and B' after dilation with a scale factor of 2 centered at the origin, we multiply the x and y coordinates of each point by 2.

For point A:
A' = (2 * 3, 2 * 7)
A' = (6, 14)

For point B:
B' = (2 * 4, 2 * 9)
B' = (8, 18)

So the coordinates A' = (6, 14) and B' = (8, 18) after dilation.