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Pq and rs are two mirrors …

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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

Posted by Gurchet Gill 5 years, 8 months ago

CBSE > Class 09 > Mathematics

1 answers

Hariom Chauhan 5 years, 8 months ago

Given : pQ || RS To prove: AB ||CD construction : B L is perpendicular to PQ , CM is perpendicular to RS Proof : by law of reflection ie. Angle i =angle r Let angle i be 1 and 2 , 3and 4 Since bl is perpendicular to pq , and cm is perpendicular to rs Therefore bl ||cm Angle 2 =angle 3 {Alternate interior angle } 2 angel 2=2 angel 3 {by euclid axiom ie.if equal are multiple by equals than the product is equal} Angle abc= angle bcd (since angle 1=to angle 2 , angle 3=angle 4) As they are alternate interior angle a Since ab ||cd ( by Manju chouhan )

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