Answer:
The two column proof is presented as follows;
Statement Reason
ΔSCW ≅ ΔTUW Given
≅ <em><u>CPCTC</u></em>
≅ CPCTC
≅ <u><em>CPCTC</em></u>
∠SVW ≅ ∠TUW CPCTC
SU = SW + UV Additive property of Length
TU = TW + VW Additive property of Length
SU = TW + VW Substitution
SU = TV Transitive property
ΔSTV ≅ ΔTSU SAS
∠TSV ≅ ∠STU CPCTC
Step-by-step explanation:
The two column proof is presented as follows;
Statement Reason
ΔSCW ≅ ΔTUW Given
≅ <u><em>Congruent Parts of Congruent Triangles are Congruent</em></u>
≅ Congruent Parts of Congruent Triangles are Congruent
≅ <u><em>Congruent Parts of Congruent Triangles are Congruent</em></u>
∠SVW ≅ ∠TUW <em>Congruent Parts of Congruent Triangles are Congruent</em>
SU = SW + UV Additive property of Length
TU = TW + VW Additive property of Length
SU = TW + VW Substitution
SU = TV Transitive property
ΔSTV ≅ ΔTSU Side-Angle-Side rule of congruency
∠TSV ≅ ∠STU Congruent Parts of Congruent Triangles are Congruent