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 12 , centered at the origin.
To find the coordinates of a point after dilation with a scale factor of 12 centered at the origin, you multiply the x-coordinate and the y-coordinate by the scale factor.
For point A (−6, 4):
x-coordinate of A' = −6 * 12 = −72
y-coordinate of A' = 4 * 12 = 48
Therefore, A' has coordinates (−72, 48).
For point B (−8, 2):
x-coordinate of B' = −8 * 12 = −96
y-coordinate of B' = 2 * 12 = 24
Therefore, B' has coordinates (−96, 24).