Select the coordinates A′ and B′ after dilation of the line segment AB with a scale factor of 13 , centered at the origin where the endpoints are A(−6,3) and B(−12,9) .
To dilate the line segment AB with a scale factor of 13, centered at the origin, we need to multiply the coordinates of each point by 13.
For point A(-6, 3):
The x-coordinate of A' is -6 * 13 = -78
The y-coordinate of A' is 3 * 13 = 39
Therefore, A' = (-78, 39)
For point B(-12, 9):
The x-coordinate of B' is -12 * 13 = -156
The y-coordinate of B' is 9 * 13 = 117
Therefore, B' = (-156, 117)