Uis 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

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 }

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation: