∠SWY≅∠UXV Given
2 ∠S≅∠U Given
3
VW
≅
XY
Given
4 WY=XY+WX Additive Property of Length
5 VX=VW+WX Additive Property of Length
6 WY=VW+WX Substitution
7 VX=WY Transitive Property of Equality
8 △SWY≅△UXV