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

Answer 1

To find the coordinates of A' and B', we need to multiply the x and y values of A and B by the scale factor (2). Since the center of dilation is the origin (0, 0), we do not need to make any additional adjustments.

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

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

Therefore, A' = (6, 14) and B' = (8, 18)