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 point)
Responses
A′(−2,1) and B′(−12,9)
A′(−18,9) and B′(−36,27)
A′(−6,3) and B′(−4,3)
A′(−2,1) and B′(−4,3)
To find the coordinates A′ and B′ after dilation of the line segment AB with a scale factor of 13, we need to multiply the x and y coordinates of each point by the scale factor.
For point A(-6,3), the x-coordinate becomes -6 * 13 = -78 and the y-coordinate becomes 3 * 13 = 39. Therefore, A' = (-78, 39)
For point B(-12,9), the x-coordinate becomes -12 * 13 = -156 and the y-coordinate becomes 9 * 13 = 117. Therefore, B' = (-156, 117)
The correct answer is A′(-78,39) and B′(-156,117).