U is the midpoint of TV . Complete the proof that △TUW≅△UVX. T V X W U Statement Reason 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 CPCTC Definition of congruence SAS SSS

Respuesta :

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 }

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