Select the coordinates A′ and B′ after dilation of the line segment AB with a scale factor of 2, centered at the origin where the endpoints are A(3,7) and B(4,9) .(1 point) Responses A′(−6,3) and B′(8,18) upper A prime left parenthesis negative 6 comma 3 right parenthesis and upper B prime left parenthesis 8 comma 18 right parenthesis A′(6,14) and B′(8,18) upper A prime left parenthesis 6 comma 14 right parenthesis and upper B prime left parenthesis 8 comma 18 right parenthesis A′(6,14) and B′(−4,3) upper A prime left parenthesis 6 comma 14 right parenthesis and upper B prime left parenthesis negative 4 comma 3 right parenthesis A′(32,72) and B′(2,92)
To find the coordinates A' and B' after dilation, we need to multiply each coordinate of A and B by the scale factor of 2.
For A(3,7):
The x-coordinate of A' is 3 * 2 = 6
The y-coordinate of A' is 7 * 2 = 14
For B(4,9):
The x-coordinate of B' is 4 * 2 = 8
The y-coordinate of B' is 9 * 2 = 18
Therefore, the correct answer is A' (6,14) and B' (8,18).
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) 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′(−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′(−2,1) and B′(−4,3)
To find the coordinates A' and B' after dilation, we need to multiply each coordinate of A and B by the scale factor of 13.
For A(-6,3):
The x-coordinate of A' is -6 * 13 = -78
The y-coordinate of A' is 3 * 13 = 39
For B(-12,9):
The x-coordinate of B' is -12 * 13 = -156
The y-coordinate of B' is 9 * 13 = 117
Therefore, the correct answer is A' (-78,39) and B' (-156,117).