Question

g: TE parallel XW
TE cong XW
P: TX parallel EW
(HINT: draw an auxiliary seg and prove that some triangles are cong)
write 2 column proof

Answer 1

@mathstudent55
what i know so far:
1. TE parallel XW 1. given
2. TE cong XW 2. given

would i draw a line from x to e
if so what would i do after?

Answer 2

Yes, draw the line first.
Then you need to prove congruent triangles and use CPCTC.

Answer 3

Seg TE cong seg XW: given
Seg XE cong seg XE: reflexive
<2 cong <1: alt int <s of parallel lines
Tr. ETX cong. tr. XWE: SAS
<3 cong. <4: CPCTC
TX parallel WE: alt int <s are cong so lines are parallel