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If P is a point of intersection of the diagonals of the parallelogram ABCD If O is any point then OA+OB+OC+OD=

If P is a point of intersection of the diagonals of the parallelogram ABCD If O is any point then OA+OB+OC+OD=

Grade:12

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear pallavi

we know digonal of parallelogram intersect each other

so P is the mid pont of A and C and also p is the mid point of B and D

OP = (OA + OC )/2   or 2OP = OA + OC

and

OP = (OB + OD  )/2  or 2OP = OB + OD

add

4OP =OA+OB+OC+OD

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