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