(d) A point (3, 4) is the point of intersection of the diagonals of the parallelogram, two of whose
consecutive corners are at the points (3, 2) and (5,10). Find the co-ordinates of the remaining corners.
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(d) A point (3, 4) is the point of intersection of the diagonals of the parallelogram, two of whose
consecutive corners are at the points (3, 2) and (5,10). Find the co-ordinates of the remaining corners.
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Answer:
The diagonals of a parallelogram bisect each other. Hence M is the mid point of the vertices (3,−2);(6,−3) or of the vertices (4,0);(5,−5)
Mid point of two points (x
1
,y
1
) and (x
2
,y
2
) is calculated by the formula (
2
x
1
+x
2
,
2
y
1
+y
2
)
Using this formula, mid point of (3,−2),(6,−3)=(
2
3+6
,
2
−2−3
)=(
2
9
,
2
−5
)