Theorem 6.6 - Lines parallel to same lines are parallel to each other.jpg

2 Theorem 6.6 - Class 9 - For lines l & n with transversal corresponding angles are equal .jpg


  1. Chapter 6 Class 9 Lines and Angles
  2. Serial order wise
Ask Download

Transcript

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

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.