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Theorem 6.6 - Class 9th - Lines which are parallel to the same lines are parallel to each other - Parallel lines and traversal - Properties

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  1. Chapter 6 Class 9 Lines and Angles
  2. Serial order wise
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Theorem 6.6 :- Lines which are parallel to the same lines are parallel to each other. Given :- Three lines l, m, n and a transversal t such that l ∥ m and m ∥ n . To Prove :- l ∥ n. Proof :- From (1) and (2) ∠1 = ∠3 But they are corresponding angles. For lines l & n with transversal t, corresponding angles are equal Hence l and n are parallel. Hence l ∥ n Hence proved

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He provides courses for Mathematics from Class 9 to 12. You can ask questions here.
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