- Statements: QT bisects PS, Reason: Given
- Statements: PR ≅ RS, Reason: Definition of segment bisector
- Statements: ∠P ≅ ∠S, Reason: Given
- Statements: ∠QRP ≅ ∠TRS, Reason: Given
- Statements: ΔQRP ≅ ΔTRS, Reason: ASA Postulate
- Statements: ∠Q ≅ ∠T, Reason: CPCTC
- Statements: FG ⊥ DE, Reason: Given
- Statements: ∠FGD and ∠FGE are right angles, Reason: Definition of perpendicular lines
- Statements: ∠FGD ≅ ∠FGE, Reason: All right angles are congruent
- Statements: G is the midpoint of DE, Reason: Given
- Statements: DG ≅ EG, Reason: Definition of midpoint
- Statements: FG ≅ FG, Reason: Reflexive Property of Congruence
- Statements: ΔFGD ≅ ΔFGE, Reason: SAS Postulate
- Statements: FD ≅ FE, Reason: CPCTC
- Statements: QR ≅ QT, Reason: Given
- Statements: QP bisects ∠RQT, Reason: Given
- Statements: ∠RQP ≅ ∠TQP, Reason: Definition of angle bisector
- Statements: QP ≅ QP, Reason: Reflexive Property of Congruence
- Statements: ΔQRP ≅ ΔQTP, Reason: SAS Postulate
Parent Tip: Review the logic above to help your child master the concept of congruent triangle proofs worksheet.
