Question

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).

1: A’ (3/2,7/2) and B’ (2, 9/2)

Answer 1

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

A' = (2 * 3, 2 * 7) = (6, 14)
B' = (2 * 4, 2 * 9) = (8, 18)

So the correct answer is:
A' (6, 14) and B' (8, 18)