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)
A′ (
) B′ (
)

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 multiply each coordinate of the original points by 1/2.

For A' (x, y) after dilation:
x = -6 * 1/2 = -3
y = 4 * 1/2 = 2

So A' has coordinates (-3, 2).

For B' (x, y) after dilation:
x = -8 * 1/2 = -4
y = 2 * 1/2 = 1

So B' has coordinates (-4, 1).

Therefore, the coordinates of A' are (-3, 2) and the coordinates of B' are (-4, 1).