

1)OL ⊥ AB and OM ⊥ AC  1) By construction 
2)∠OLA = ∠OMA  2)Each 90^{0} 
3) OA = OA  3) Reflexive (common ) 
4) ∠OAL = ∠OAM  4) Given 
5) ΔOLA = ΔOMA  5) AAS postulate 
6) OL = OM  6) CPCTC 
7) AB = CD  7) Chords are equidistant from center O 


1) OV = OU  1) Equalchords of a circle are equidistant from the center 
2)∠OVT = ∠OUT  2)Each 90° 
3) OT = OT  3) Reflexive (common) 
4) ΔOVT ≅ ΔOUT  4) HL postulate or (RHS theorem) 
5) ∠OTV = ∠OTU  5) CPCTC 