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 1/2 , centered at the origin
To find the coordinates of A' and B' after a dilation with a scale factor of 1/2 centered at the origin, we can multiply the x-coordinate and y-coordinate of each point by the scale factor.
For point A(-6, 4):
The x-coordinate of A' = (-6) * (1/2) = -3
The y-coordinate of A' = 4 * (1/2) = 2
Therefore, A' has coordinates (-3, 2).
For point B(-8, 2):
The x-coordinate of B' = (-8) * (1/2) = -4
The y-coordinate of B' = 2 * (1/2) = 1
Therefore, B' has coordinates (-4, 1).