Select the coordinates A' and B' after dilation of the line segment AB with a scale factor of 1/3, centered at the orgin 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 need to multiply the x-coordinate and the y-coordinate of each point by the scale factor.
For point A(-6, 3), the coordinates A' can be found using the formula:
A' = (scale factor * x-coordinate, scale factor * y-coordinate)
A' = (1/3 * -6, 1/3 * 3)
A' = (-2, 1)
Therefore, the coordinates of A' are (-2, 1).
Similarly, for point B(-12, 9), the coordinates B' can be found using the formula:
B' = (scale factor * x-coordinate, scale factor * y-coordinate)
B' = (1/3 * -12, 1/3 * 9)
B' = (-4, 3)
Therefore, the coordinates of B' are (-4, 3).