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' and B' after a dilation with a scale factor of 12 centered at the origin, we multiply the coordinates of A and B by the scale factor.
Coordinate of A': (scale factor) * (x-coordinate of A), (scale factor) * (y-coordinate of A)
Coordinate of A': 12 * (-6), 12 * 4
Coordinate of A': (-72, 48)
Coordinate of B': (scale factor) * (x-coordinate of B), (scale factor) * (y-coordinate of B)
Coordinate of B': 12 * (-8), 12 * 2
Coordinate of B': (-96, 24)
So, the coordinates of A' are (-72, 48) and the coordinates of B' are (-96, 24).