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If two chords of a congruent circle are ...

If two chords of a congruent circle are equal; then their corresponding arcs.

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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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