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)%0D%0AA′ () B′ ()
To find the coordinates of A' and B' after a dilation with a scale factor of 1/2, centered at the origin, we multiply each coordinate of A and B by the scale factor.
For A:
x-coordinate of A' = x-coordinate of A * scale factor
y-coordinate of A' = y-coordinate of A * scale factor
x-coordinate of A' = -6 * 1/2 = -3
y-coordinate of A' = 4 * 1/2 = 2
Therefore, the coordinates of A' are (-3, 2).
Similarly, for B:
x-coordinate of B' = x-coordinate of B * scale factor
y-coordinate of B' = y-coordinate of B * scale factor
x-coordinate of B' = -8 * 1/2 = -4
y-coordinate of B' = 2 * 1/2 = 1
Therefore, the coordinates of B' are (-4, 1).
So we have A' (-3, 2) and B' (-4, 1).