1.
- Statement: ∠N ≅ ∠P
Reason: Given
- Statement: ∠MNO ≅ ∠PQO
Reason: Vertical Angles Theorem
- Statement: ΔMNO ≅ ΔPQO
Reason: AAS Congruence Postulate
2.
- Statement: ST ≅ VT, RT ≅ UT
Reason: Given
- Statement: ∠RTS ≅ ∠UTV
Reason: Vertical Angles Theorem
- Statement: ΔRTS ≅ ΔUTV
Reason: SAS Congruence Postulate
3.
- Statement: M is the midpoint of TV
Reason: Given
- Statement: TM ≅ VM
Reason: Definition of Midpoint
- Statement: ∠T ≅ ∠V
Reason: Given
- Statement: TV ≅ TV
Reason: Reflexive Property
- Statement: ΔTVM ≅ ΔVTM
Reason: SAS Congruence Postulate
Parent Tip: Review the logic above to help your child master the concept of congruent triangles sss and sas worksheet.