1. BD = WL (Given)
2. XL = WO (Given)
3. BL = BD + DL, OW = WL + LO (Segment Addition Postulate)
4. BL = OW (Substitution using 1 and 3)
5. ∠BOL ≅ ∠WLO (Vertical Angles Theorem)
6. △BOL ≅ △WLO (SAS Congruence Postulate using 4, 5, and 2)
1. FE ≅ XA (Given)
2. PE ≅ RA (Given)
3. ∠PEX ≅ ∠RAX (Given)
4. △PEX ≅ △RAX (SAS Congruence Postulate using 1, 3, and 2)
1. TE bisects ∠STA (Given)
2. ∠STA is isosceles (Given)
3. ST = AT (Definition of Isosceles Triangle)
4. ∠STE ≅ ∠ATE (Definition of Angle Bisector)
5. TE = TE (Reflexive Property)
6. △STE ≅ △ATE (SAS Congruence Postulate using 3, 4, and 5)
Parent Tip: Review the logic above to help your child master the concept of proving triangles congruent sss sas worksheet.
