Select the coordinates A and B after dilation of the line segments 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 with a scale factor of 1/3, we can use the formula for dilation:
A' = (1/3)(A)
B' = (1/3)(B)
Using these formulas:
For A:
A' = (1/3)(-6,3)
A' = (-2,1)
For B:
B' = (1/3)(-12,9)
B' = (-4,3)
Therefore, the coordinates A' and B' after dilation with a scale factor of 1/3, centered at the origin, are A' (-2,1) and B' (-4,3).