select the coordinates A and B after dilation of the line segment AB with a scale factor of 1/3 centered at the origin where the endpoints are A(-6,3) and B(-12,9)
To find the dilated coordinates of A and B, we will apply the formula for dilation:
(x', y') = (kx, ky)
where (x', y') represents the new coordinates after dilation, (x, y) represents the original coordinates, and k represents the scale factor.
For point A:
(x', y') = (kx, ky) = (1/3 * -6, 1/3 * 3) = (-2, 1)
For point B:
(x', y') = (kx, ky) = (1/3 * -12, 1/3 * 9) = (-4, 3)
Therefore, the dilated coordinates of A and B are (-2, 1) and (-4, 3), respectively.