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 points are A (-6,3) and B (4
-12,9)
To find the dilated coordinates A' and B', we can multiply the x and y coordinates of A and B by the scale factor of 1/3.
For point A (-6, 3):
x-coordinate of A' = (-6) * (1/3) = -2
y-coordinate of A' = 3 * (1/3) = 1
So, A' is at (-2, 1).
For point B (4, -12, 9):
x-coordinate of B' = 4 * (1/3) = 4/3
y-coordinate of B' = -12 * (1/3) = -4
z-coordinate of B' = 9 * (1/3) = 3
So, B' is at (4/3, -4, 3).