Line segment a b has endpoint A ( -6, 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 simply multiply the original coordinates by the scale factor.
For point A (-6, -2):
Coordinates after dilation = (-6 * 1/2, -2 * 1/2) = (-3, -1)
For point B (-8, 2):
Coordinates after dilation = (-8 * 1/2, 2 * 1/2) = (-4, 1)
Therefore, the coordinates of A and B after the dilation with a scale factor of 1/2 centered at the origin are A' (-3, -1) and B' (-4, 1), respectively.