Question

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’ (???).

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 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).