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′(−6,3) and B′(−4,3)
A′(−2,1) and B′(−12,9)
A′(−2,1) and B′(−4,3)
A′(−18,9) and B′(−36,27)
The dilation of a point (x, y) with a scale factor of 13 centered at the origin is (13x, 13y).
For point A(−6,3), the dilation would be A′(13(-6), 13(3)) = A′(-78, 39).
For point B(−12,9), the dilation would be B′(13(-12), 13(9)) = B′(-156, 117).
Therefore, the coordinates A′ and B′ after dilation are A′(-78, 39) and B′(-156, 117).