To prove that ΔWVU and ΔUBW are congruent by the Side-Side-Side Triangle Congruence Postulate, we need to know that VW is congruent to BU. After having this information given to us, here's what our proof looks like:
VW = BU----------Given
VU = BW----------Given
WU = UW----------They are lengths of the same line segment
ΔWVU = ΔUBW----------Side-Side-Side Triangle Congruence Postulate