The line segment joining A(6,3) and B(-1, -4) is doubled in length by adding half of AB to each end. Find the coordinates of the new end points.
Answers
the coordinates of the new end points. ( 19/2 , 13/2) & (-9/2 , - 15/2)
Step-by-step explanation:
The line segment joining A(6,3) and B(-1, -4) is doubled in length by adding half of AB to each end.
Let say M is the mid point of AB
then AM = BM is added both side of A & B
Let say Those point are P & Q from A & B
then AP = AM => A is mid point of PM
BQ = BM => B is mid point of QM
M is mid point of AB A(6,3) and B(-1, -4)
M coordinate = (6 + (-1))/2 , (3 + (-4))/2
M = ( 5/2 , - 1/2)
A is mid point of PM
A(6,3) M ( 5/2 , - 1/2)
6 = (Px + (5/2) )/2 => Px = 19/2
3 = (Py + (-1/2) )/2 => Py = 13/2
B is mid point of QM
B(-1, -4) M ( 5/2 , - 1/2)
-1 = ( Qx + 5/2)/2 => Qx = -9/2
-4 = (Qy +(-1/2))/2 => Qy = -15/2
P ( 19/2 , 13/2) & Q = (-9/2 , - 15/2)
the coordinates of the new end points. ( 19/2 , 13/2) & (-9/2 , - 15/2)
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