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.
To find the coordinates of A' and B' after a dilation with a scale factor of 1/2 centered at the origin, we multiply the x and y coordinates of each point by 1/2.
For point A, A' can be found by multiplying each coordinate by 1/2:
A' = (1/2 * -6, 1/2 * 4) = (-3, 2)
For point B, B' can be found by multiplying each coordinate by 1/2:
B' = (1/2 * -8, 1/2 * 2) = (-4, 1)
Therefore, the coordinates of A' are (-3, 2) and the coordinates of B' are (-4, 1).