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

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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