Ex 3.3, 10 - Explain how this figure is a trapezium Which of its two

Ex 3.3, 10 - Chapter 3 Class 8 Understanding Quadrilaterals - Part 2


Ex 3.3, 10 Explain how this figure is a trapezium. Which of its two sides are parallel? Given: A quadrilateral KLMN having ∠L = 80° and ∠M = 100° To Prove: KLMN is a trapezium. i.e. KL ∥ NM Construction: Extend LM to O. Proof: For Line Segments NM and KL, with MO is a transversal . ∠ M + ∠ L = 180° Thus, Sum of Interior angles on same side of transversal is 180° Which is only possible if NM and KL are parallel lines Therefore, NM ∥ KL Since, KLMN is quadrilateral with KL ∥ NM ∴ KLMN is a trapezium

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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, Social Science, Physics, Chemistry, Computer Science at Teachoo.