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