Q. 184.0( 4 Votes )

In the given figure, OA .OB = OC.OD, show that: A = C and B = D.


Answer :

Given: OA × OB = OC × OD

To Prove: A = C and B = D


Now, OA .OB = OC.OD


…(i)


In AOD and COB


(from (i))


AOD = COB (vertically opposite angles)


AOD ~ COB (by SAS similarity criterion)


We know that if two triangles are similar then their corresponding angles are equal.


A = C and B = D


Hence Proved


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Basic Proportionality TheoremBasic Proportionality TheoremBasic Proportionality Theorem42 mins
A Peep into Pythagoras TheoremA Peep into Pythagoras TheoremA Peep into Pythagoras Theorem43 mins
R.D Sharma | Solve Exercise -4.2 and 4.3R.D Sharma | Solve Exercise -4.2 and 4.3R.D Sharma | Solve Exercise -4.2 and 4.3FREE Class
NCERT | Strong Your Basics of TrianglesNCERT | Strong Your Basics of TrianglesNCERT | Strong Your Basics of Triangles39 mins
RD Sharma | Imp. Qs  From TrianglesRD Sharma | Imp. Qs  From TrianglesRD Sharma | Imp. Qs From Triangles41 mins
Quiz | Criterion of Similarity of TriangleQuiz | Criterion of Similarity of TriangleQuiz | Criterion of Similarity of Triangle45 mins
How to Ace Maths in NTSE 2020?How to Ace Maths in NTSE 2020?How to Ace Maths in NTSE 2020?36 mins
Champ Quiz | Thales TheoremChamp Quiz | Thales TheoremChamp Quiz | Thales Theorem49 mins
NCERT | Concept Based Questions on TrianglesNCERT | Concept Based Questions on TrianglesNCERT | Concept Based Questions on Triangles31 mins
Know About Important Proofs in TrianglesKnow About Important Proofs in TrianglesKnow About Important Proofs in Triangles33 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses