- Statements: QT bisects PS, Reasons: Given
- Statements: PR ≅ RS, Reasons: Definition of segment bisector
- Statements: ∠P ≅ ∠S, Reasons: Given
- Statements: ∠QRP ≅ ∠TRS, Reasons: Given
- Statements: △QRP ≅ △TRS, 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: △FGD ≅ △FGE, 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: △QRP ≅ △QTP, Reasons: SAS Congruence Postulate
Parent Tip: Review the logic above to help your child master the concept of congruent triangles proof worksheet.
