The following prove about ∆VWY ≅ XUY is arranged in the correct order;
- Definition of midpoint
- Vertical angle theorem
- Given (in the diagram)
- ASA
- Given (in the statement)
Arrange the prove in the correct order
Statement: Y is the midpoint of line UW
Reason: Definition of midpoint
Statement: ∠U ≅ ∠W
Reason: Vertical angle theorem
Statement: Line UY ≅ line WY
Reason: Given (in the diagram)
Statement: ∠UYX ≅ VYW
Reason: ASA
Statement: ∆VWY ≅ XUY
Reason: Given (in the statement)
Hence, triangle VWY is congruent to triangle XUY.