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 point)

Answer 1

To find the new coordinates A' and B' after a dilation with a scale factor of 12, centered at the origin, we multiply the x and y coordinates of each point by the scale factor.

For point A (-6, 4):
x-coordinate of A' = -6 * 12 = -72
y-coordinate of A' = 4 * 12 = 48
So A' has coordinates (-72, 48).

For point B (-8, 2):
x-coordinate of B' = -8 * 12 = -96
y-coordinate of B' = 2 * 12 = 24
So B' has coordinates (-96, 24).

Therefore, the coordinates of A' and B' after the dilation are (-72, 48) and (-96, 24) respectively.