Prove that equal chords of a circle subtend equal angles at the centre.
Share
Prove that equal chords of a circle subtend equal angles at the centre.
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Answer:
In ΔAOB and ΔCOD,
AB=CD (Given)
AO=CO (radius)
OB=OD (radius)
By S.S.S congruency, ΔAOB≅ΔCOD
⇒∠AOB=∠COD.