Question

dilation practice 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 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 can use the following dilation formula:

(x', y') = (sx, sy)

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

Let's apply this formula to point A (-6, 4):

x' = 1/2 * -6 = -3
y' = 1/2 * 4 = 2

Therefore, after the dilation, point A becomes (-3, 2).

Similarly, let's apply the formula to point B (-8, 2):

x' = 1/2 * -8 = -4
y' = 1/2 * 2 = 1

Therefore, after the dilation, point B becomes (-4, 1).

So, the coordinates of A and B after a dilation with a scale factor of 1/2 centered at the origin are A'(-3, 2) and B'(-4, 1).