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Statement: If two arcs are congruent, then their chords are equal. Given: Arc ASB = Arc CTD To prove: AB = CD Proof: OA = O^{l}C, OB = O^{l}D (radii) Angle AOB = Angle CO^{l}D (given that the arcs are congruent) Hence by SAS Postulate on congruence AOB is congruent to CO^{l}D Hence AB = CD
Statement: There is only one circle passing through three non collinear points.
Example: In the given figure prove that AB = CD Directions: Solve the following. 