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 coordinates A' and B' after dilation of the line segment AB with a scale factor of 1/3 centered at the origin, we can use the following formula:
A' = (1/3)(Ax, Ay)
B' = (1/3)(Bx, By)
Given that the coordinates of A are (-6, 3) and B are (-12, 9), let's plug these values into the formula to find the new coordinates A' and B':
A' = (1/3)(-6, 3) = (-2, 1)
B' = (1/3)(-12, 9) = (-4, 3)
Therefore, the coordinates A' are (-2, 1) and B' are (-4, 3) after the dilation.