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