1.

: If the angles subtended by the chords of a circle at the CentreTheoremre equal then the chords are equal.

Answer»

Let AB and CD be the chords of a circle with centre 0where angle AOB= angle CODTo prove:AB equal toCDProof: in triangle AOB and triangle COD,we haveOA = OC (radii of a circle)

angle AOB = angleCOD

OB = OD(radii of a circle)therefore triangle AOB congruent to triangleCOD(by SAS rule)therefore AB = CD (by cpct)

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