|Statement: If two arcs are congruent, then their chords are equal.|
Given: Arc ASB = Arc CTD
To prove: AB = CD
Proof: OA = OlC, OB = OlD (radii)
Angle AOB = Angle COlD (given that the arcs are congruent)
Hence by SAS Postulate on congruence AOB is congruent to COlD
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.