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). (1 point)
• A' (-2,1) and B' (-12, 9)
• A' (-2,1) and B' (-4,3)
O A' (-18,9) and B' (-36, 27)
• A' (-6,3) and B' (-4,3)
To find the coordinates A' and B' after dilation by a factor of 1/3 centered at the origin, we need to multiply the coordinates of A and B by 1/3.
A' = (-6*1/3, 3*1/3) = (-2, 1)
B' = (-12*1/3, 9*1/3) = (-4, 3)
Therefore, the correct answer is:
- A' (-2, 1) and B' (-4, 3)