Theorem 6.2 - Chapter 6 Class 9 Lines and Angles

Last updated at May 29, 2023 by

Theorem 6.2 - If transversal intersects two parallel lines, then each pair of alternate interior angles are equal .jpg

Theorem 6.2 - Chapter 6 Class 9 Lines and Angles - Part 2


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Theorem 6.2 :- If a transversal intersects two parallel lines, then each pair of alternate interior angles are equal. Given :- Two parallel lines AB and CD. Let PS be the transversal intersecting AB at Q and CD at R. To Prove :- Each pair of alternate interior angles are equal. i.e, BQR = CRQ and AQR = QRD Proof :- First, we will prove BQR = CRQ From (1) and (2) BQR = CRQ Similarly we can prove AQR = QRD Hence, pair of alternate interior angles are equal. 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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.