Answer:
The complete Proof with statements is given below.
Step-by-step explanation:
Given:
U is the midpoint of TV i.e TU ≅ UV .
VX ≅ UW
UX ≅ TW
To Prove:
△TUW ≅ △UVX
Construction : As an attachment.
Proof:
In â–³TUW and â–³UVX.
1 U is the midpoint of TV Given
2 VX ≅ UW    ..............{Given }
3 UX ≅ TW     .............{Given }
4 TU ≅ UV     ............{Definition of midpoint}
5 △TUW≅△UVX ..........{ Definition of congruence by SSS  test }