Ex 8.2, 6 - Show that the line segments joining mid-points - Ex 8.2

Ex 8.2, 6 - Chapter 8 Class 9 Quadrilaterals - Part 2
Ex 8.2, 6 - Chapter 8 Class 9 Quadrilaterals - Part 3

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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 has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo