Ex 8.2, 6
Show that the line segments joining the mid-points of the opposite sides of a quadrilateral bisect each other.
Given: Let ABCD is a quadrilateral
P, Q, R and S are mid-points of the sides
AB, BC, CD and DA respectively
To prove: PR & SQ bisect each other
i.e. OP = OR & OQ = OS
Construction: Join A & C
Proof:
PR & SQ are diagonals of parallelogram PQRS
So, OP = OR & OQ = OS
Hence proved

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.