Question 6. In Fig. 6.33, PQ and RS are two mirrors placed parallel to each other. An inci Chapter 6: Lines and Angles Maths Class 9 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 6. In Fig. 6.33, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB || CD. is solved by our expert teachers. You can get ncert solutions and notes for class 9 chapter 6 absolutely free. NCERT Solutions for class 9 Maths Chapter 6: Lines and Angles is very essencial for getting good marks in CBSE Board examinations
Question 6. In Fig. 6.33, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that AB || CD.
Solution: Let draw BM ⊥ PQ and CN ⊥ RS.
Given that PQ || RS so that BM || CN
Use the property of Alternate interior angles
∠2 = ∠3 … (1)
∠ABC = ∠1 + ∠2
But ∠1 = ∠2 so that
∠ABC = ∠2 + ∠2
∠ABC = 2∠2
Similarly
∠BCD = ∠3 + ∠4
But ∠3 = ∠4 so that
∠ BCD = ∠3 + ∠3
∠ BCD = 2∠3
From equation first
∠ABC = ∠DCB
These are alternate angles so that AB || CD
Hence proved
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