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' after the dilation, we need to multiply each coordinate of A by the scale factor of 1/2: (-6, 4) x 1/2 = (-6/2, 4/2) = (-3, 2).
To find the coordinates of B' after the dilation, we need to multiply each coordinate of B by the scale factor of 1/2: (-8, 2) x 1/2 = (-8/2, 2/2) = (-4, 1).
So, the coordinates of A' are (-3, 2) and the coordinates of B' are (-4, 1).