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.
A' ( ) B' ( )
To find the coordinates of A' and B' after a dilation with a scale factor of 12, centered at the origin, we need to multiply the x and y coordinates of points A and B 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).
Final Answer:
A' (-72, 48)
B' (-96, 24)