If two chords of a congruent circle are equal; then their correspondin – InterviewSolution

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1.	If two chords of a congruent circle are equal; then their corresponding arcs.
Answer» In `Delta AOB ` and `Delta COD`, seg OA `~=` seg OC seg `OB ~= `seg OD ….(Radii of the same circle ) seg AB `~=` seg CD …...(Given ) `:. Delta AOB ~= Delta COD ` …..(SSS test of congruence ) `:. /_AOB ~= /_COD ` ....(c.a.c.t.) ......(1) m ( arc AMB ) `= /_ AOB ` .....(Definiton of measure of minor arc ) ........(2) m (arc CND ) =`/_COD ` .....(3) `:.` m (arc AMB ) m ( arc CND ) .....[From (1) , (2) and (3) ] `:.` ar AMB `~=` arc CND .

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