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 △TUW and △UVX.
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 }