Proving Quadrilateral is a parallelogram (Different Theorem)

Last updated at Jan. 21, 2025 by

Theorem 8.8 - Class 9 - If a pair of opposite sides is equal parallel Theorem 8.8 - Chapter 8 Class 9 Quadrilaterals - Part 2

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Theorem 8.8 A quadrilateral is a parallelogram if a pair of opposite sides is equal and parallel. Given : ABCD is a quadrilateral where AB CD & AB = CD To Prove : ABCD is a Parallelogram Proof : Given AB CD with transversal AC. BAC = DCA In ADC & CBA AB = CD BAC = DCA AC = CA ADC CBA Hence, DA = BC Thus, In ABCD, Both pairs of opposite sides are equal ABCD is a Parallelogram. 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 15 years. He provides courses for Maths, Science and Computer Science at Teachoo