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 point)

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 point)

GPT 3.5 · Answer

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

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

So the coordinates of A' are (6, 14).

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

So the coordinates of B' are (8, 18).