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

Responses

A) A′(−6,3) and B′(8,18)

B) A′(6,14) and B′(8,18)

C) A′(32,72) and B′(2,92)

D) A′(6,14) and B′(−4,3)

Answer 1

To find the coordinates A' and B' after dilation, we multiply the x and y coordinates of A and B by the scale factor of 2.

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

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

Therefore, the correct answer is:

D) A′(6, 14) and B′(8, 18)