Select the coordinates A' and B' after dilation of the line segment AB with a scale factor of centered at the origin where the endpoints are A(- 6, 3) and B(- 12, 9) (1 point) 1/3
A' * (- 2, 1) and B' * (- 4, 3)
A' * (- 6, 3) and B' * (- 4, 3)
A' * (- 2, 1) and B' * (- 12, 9)
A' * (- 18, 9) and B' * (- 36, 27)
The correct answer is A' * (- 2, 1) and B' * (- 4, 3).
To find the coordinates of A' and B' after dilation with a scale factor of 1/3, we multiply the x and y coordinates of A and B by 1/3.
For point A (-6, 3), when multiplied by 1/3, we get A' = (-6 * 1/3, 3 * 1/3) = (-2, 1).
For point B (-12, 9), when multiplied by 1/3, we get B' = (-12 * 1/3, 9 * 1/3) = (-4, 3).
Therefore, the correct answer is A' * (-2, 1) and B' * (-4, 3).