Find the new triangle points after the triangle pictured undergoes a scale factor of 1/2 and a center of dilation at the origin

the original coordinates are: A -8,-4 B -2,8 C 10,-6

To find the new coordinates after a scale factor of 1/2 and a center of dilation at the origin, we simply multiply each coordinate by the scale factor.

The new coordinates for point A are:
A' = (-8 * 1/2, -4 * 1/2) = (-4, -2)

The new coordinates for point B are:
B' = (-2 * 1/2, 8 * 1/2) = (-1, 4)

The new coordinates for point C are:
C' = (10 * 1/2, -6 * 1/2) = (5, -3)

Therefore, the new triangle points after the scale factor and center of dilation are:
A'(-4, -2), B'(-1, 4), and C'(5, -3)