Question

Line segment AB has endpoints A (−6, 4) and B (−8, 2) . Find the coordinates of A′ and B′ after a dilation with a scale factor of 1/2 , centered at the origin.(1 point)

Answer 1

To find the coordinates of A' and B' after a dilation with a scale factor of 1/2 centered at the origin, we can multiply the x and y coordinates of A and B by 1/2.

For point A:
x-coordinate of A' = x-coordinate of A * scale factor = -6 * 1/2 = -3
y-coordinate of A' = y-coordinate of A * scale factor = 4 * 1/2 = 2

Therefore, the coordinates of A' are (-3, 2).

For point B:
x-coordinate of B' = x-coordinate of B * scale factor = -8 * 1/2 = -4
y-coordinate of B' = y-coordinate of B * scale factor = 2 * 1/2 = 1

Therefore, the coordinates of B' are (-4, 1).