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) upper A prime left parenthesis negative 2 comma 1 right parenthesis and upper B prime left parenthesis negative 12 comma 9 right parenthesis
A′(−18,9) and B′(−36,27)
upper A prime left parenthesis negative 18 comma 9 right parenthesis and upper B prime left parenthesis negative 36 comma 27 right parenthesis
A′(−6,3) and B′(−4,3)
upper A prime left parenthesis negative 6 comma 3 right parenthesis and upper B prime left parenthesis negative 4 comma 3 right parenthesis
A′(−2,1) and B′(−4,3)
Since the scale factor is 13 and the center of dilation is the origin, we can find the coordinates of A' and B' by multiplying the coordinates of A and B by the scale factor.
A' = (-6 * 13, 3 * 13) = (-78, 39)
B' = (-12 * 13, 9 * 13) = (-156, 117)
Therefore, the coordinates of A' and B' are A'(-78, 39) and B'(-156, 117).