dilation practice line segment AB has endpoints a -64 and B -8 to find the coordinates of a and B after a dilation with the 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 need to apply the dilation formula:

(x', y') = (k * x, k * y)

where (x', y') are the new coordinates after dilation, (x, y) are the original coordinates, and k is the scale factor.

For point A:

x' = (1/2) * (-64) = -32
y' = (1/2) * 0 = 0

So, the new coordinates of point A after dilation are (-32, 0).

For point B:

x' = (1/2) * (-8) = -4
y' = (1/2) * 0 = 0

So, the new coordinates of point B after dilation are (-4, 0).