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.
A’ (???), B’ (???).
To find the coordinates of A' and B' after a dilation with a scale factor of 1/2 centered at the origin, we can use the formula for dilation:
A' = (1/2)*A
B' = (1/2)*B
First, we apply the dilation formula to point A (-6, 4):
A' = (1/2)*(-6, 4)
A' = (-3, 2)
So, the coordinates of A' are (-3, 2).
Next, we apply the dilation formula to point B (-8, 2):
B' = (1/2)*(-8, 2)
B' = (-4, 1)
Therefore, the coordinates of B' are (-4, 1).