Select the coordinates A and b after dilation of the line segment a b 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 with a scale factor of 1/3, centered at the origin, we multiply the x-coordinates and the y-coordinates of the endpoints by 1/3.
Endpoint A: (-6,3)
Scaled x-coordinate of A: (-6) * (1/3) = -2
Scaled y-coordinate of A: (3) * (1/3) = 1
Endpoint B: (-12,9)
Scaled x-coordinate of B: (-12) * (1/3) = -4
Scaled y-coordinate of B: (9) * (1/3) = 3
Therefore, the coordinates after dilation are A: (-2,1) and B: (-4,3).