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.(1 p

Answer 1

To find the coordinates of A' and B' after the dilation, we need to multiply the x and y coordinates of each point by the scale factor, 12.

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).

So, the coordinates of A' are (-72, 48) and the coordinates of B' are (-96, 24).