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 dilate the line segment AB by a scale factor of 1/3 centered at the origin, we can use the following formula:
A' = (1/3) * A
B' = (1/3) * B
Given points A(-6,3) and B(-12,9):
A' = (1/3) * (-6,3) = (-2,1)
B' = (1/3) * (-12,9) = (-4,3)
Therefore, after dilation by a scale factor of 1/3 centered at the origin, the new coordinates of the endpoints A' and B' are A'(-2,1) and B'(-4,3).