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