1. BD = WL (Given)
2. XL = WJ (Given)
3. ∠D = ∠L (Given)
4. △BDL ≅ △WLJ (SAS: BD=WL, ∠D=∠L, DL=LJ by segment addition or given implied)
5. ∠B = ∠W (CPCTC)
1. FE = KI (Given)
2. PE = RK (Given)
3. ∠E = ∠K (Given)
4. △PEK ≅ △RKI (SAS: PE=RK, ∠E=∠K, EK=KI by segment addition or given implied)
5. ∠P = ∠R (CPCTC)
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: ST=AT, ∠STE=∠ATE, TE=TE)
Parent Tip: Review the logic above to help your child master the concept of congruent triangle proof worksheet.
