Question

Line segment A and B 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

Answer 1

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 coordinates of A and B by the scale factor.

For point A (-6, 4):
x-coordinate of A' = -6 * (1/2) = -3
y-coordinate of A' = 4 * (1/2) = 2

Therefore, A' has the coordinates (-3, 2).

For point B (-8, 2):
x-coordinate of B' = -8 * (1/2) = -4
y-coordinate of B' = 2 * (1/2) = 1

Therefore, B' has the coordinates (-4, 1).