select the coordinates A' and B' after dilation of the line segment with 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 A' and B' after dilation with a scale factor of 2, centered at the origin, we can use the following formula:

A' = (2, 0) + (x - 2, y - 0) = (x - 2, y)
B' = (2, 0) + (x - 2, y - 0) = (x - 2, y)

Plug in the coordinates of A and B to find A' and B':

A' = (3 - 2, 7) = (1, 7)
B' = (4 - 2, 9) = (2, 9)

Thus, A' = (1, 7) and B' = (2, 9).