Complete the paragraph proof: It is given that _TUW = SRW and RSTU.
Because ZRWS and UWT are vertical angles and
vertical angles are congruent, CRWS = ZUWT. Then,
by AAS, ATUWA ASRW. Because CPCTC, SW
TW and WU RW. Because of the definition of
congruence, SW = TW and WU = RW. If we add
those equations together, SW + WU = TW + RW.
Because of segment addition, SW + WU = SU and
TW + RW = TR. Then by substitution, SU = TR. If
segments are equal, then they are congruent, so SU
TR. Because of V, ATRS & ASUT, and
because of
ZRST – ZUTS.