Question

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) .(1

Answer 1

To find the coordinates of A' and B' after dilation with a scale factor of 13 centered at the origin, we can use the formula for dilation:

A' = (13 * x_A, 13 * y_A)
B' = (13 * x_B, 13 * y_B)

Plugging in the coordinates of A and B:

A' = (13 * (-6), 13 * 3)
A' = (-78, 39)

B' = (13 * (-12), 13 * 9)
B' = (-156, 117)

Therefore, the coordinates of A' are (-78, 39) and the coordinates of B' are (-156, 117).