Theorem 6.2 - Chapter 6 Class 9 Lines and Angles
Last updated at April 16, 2024 by Teachoo
Chapter 6 Class 9 Lines and Angles
Concept wise
- Basic terms and defination
- Angles - Properties
- Angles - Problems
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Parallel lines and traversal - Properties
- Parallel lines and traversal - Problems
- Triangle - Properties
- Triangle - Problems
Transcript
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.
