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

Answer 1

To find the coordinates of a point after dilation, we multiply the coordinates of the point by the scale factor.

The coordinates of point A' after dilation can be found by multiplying the coordinates of A (-6, 4) by the scale factor:
A' = (−6 * 1/2, 4 * 1/2)
A' = (-3, 2)

Similarly, the coordinates of point B' after dilation can be found by multiplying the coordinates of B (-8, 2) by the scale factor:
B' = (−8 * 1/2, 2 * 1/2)
B' = (-4, 1)

Therefore, A' has coordinates (-3, 2) and B' has coordinates (-4, 1) after the dilation.