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 find the coordinates of A' and B' after dilation with a scale factor of 13, we multiply the x-coordinate and the y-coordinate of each point by 13.
For point A(-6, 3), the coordinates of A' are:
x-coordinate of A' = -6 * 13 = -78
y-coordinate of A' = 3 * 13 = 39
Therefore, A' is (-78, 39).
For point B(-12, 9), the coordinates of B' are:
x-coordinate of B' = -12 * 13 = -156
y-coordinate of B' = 9 * 13 = 117
Therefore, B' is (-156, 117).