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′(6,14) 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′(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′(−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′(32,72) and B′(2,92)upper A prime left parenthesis Start Fraction 3 over 2 End Fraction comma Start Fraction 7 over 2 End Fraction right parenthesis and upper B prime left parenthesis 2 comma Start Fraction 9 over 2 End Fraction right parenthesis
To dilate a point (x, y) with a scale factor of 2, centered at the origin, we multiply both x and y by 2.
For point A(3,7):
A′ = (3*2, 7*2) = (6, 14)
For point B(4,9):
B′ = (4*2, 9*2) = (8, 18)
So the coordinates after dilation are A′(6,14) and B′(8,18).