Learn more about Angles, Arcs, and Chords and Tangents
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In a circle if two chords are congruent then their corresponding are congruent.
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Solution : Let AXB and CYD are arcs of circle whose centre and radus are O and r units, respectively. <br> So, OA=OB=OC=OD=r …..(i) <br> `:' "arc "AXB cong"arc "CYD` <br> ` :. angle AOB=angleCOD ` <br> [congruent arcs of a circle subtend equal angles at the centre] <br> In `DeltaAOB abd DeltaCOD`, <br> AO=CO [form Eq. (i)] <br> BO=DO [from Eq.(i)] <br> `angle AOB=angleCOD` [from Eq. (ii)] <br> `:.Delta AOB cong Delta COD`[by SAS songruence rule] <br> `rArr AB=CD` [by COCT] <br> `rArr (AB)/(CD)=1` <br> the ratio of AB and CD is `1 : 1`.