if two chords of a circle are congruent then prove that corresponding chords are equal
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Given : (i) Minor [arc(PQ) = ar(RS)] and (ii) Major [arc(PQ) = arc(RS)]
To prove : Chord [PQ = RS]
To construct : Join OP, OQ, O'R and O'S.
Proof : Please refer to attachment.
Concept used : 1. m(arc(PQ)) = m(arc(RS))
arc(PQ) = arc(RS)
< POQ = < RO'S
Why? Because arc which have same measure are drawn with same central angle.
2. Congruent Triangles and use of c.p.c.t.
Have great future ahead!
Given : (i) Minor [arc(PQ) = ar(RS)] and (ii) Major [arc(PQ) = arc(RS)]
To prove : Chord [PQ = RS]
To construct : Join OP, OQ, O'R and O'S.
Proof : Please refer to attachment.
Concept used : 1. m(arc(PQ)) = m(arc(RS))
arc(PQ) = arc(RS)
< POQ = < RO'S
Why? Because arc which have same measure are drawn with same central angle.
2. Congruent Triangles and use of c.p.c.t.
Have great future ahead!
Attachments:
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