Question

Prove that if two chords of a circle are equal then their corresponding arcs are congruent

Answer 1

Corresponding arcs are congruent if two chords of a circle are equal

Step-by-step explanation:

Let say two equal chords are AB  & CD

=> AB = CD

& O is center of Circle

now comparing  ΔAOB  & ΔCOD

AB = CD  ( equal Chords)

AO = CO = BO = DO    ( Radius)

=> ΔAOB  ≅ ΔCOD

=> ∠AOB = ∠COD

=> Corresponding arcs are congruent

QED

Proved

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