State and prove equal chords of a circle subtend equal angles at the centre .
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Step-by-step explanation:
Statement : Equal chords of a circle subtend equal angles at the centre. Given : AB and CD are chords of a circle with centre O, such that AB = CD. Hence, Equal chords of a circle subtend equal angles at the centre.
BRIEFLY=
Answer
In ΔAOB and ΔCOD,
AB=CD (Given)
AO=CO (radius)
OB=OD (radius)
By S.S.S congruency, ΔAOB≅ΔCOD
⇒∠AOB=∠COD.
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