Question

VWX and TUX are equilateral complete proof that UV = TW

Answer 1

Answer:

6. Side Angle Side (SAS)

7.  Definition of congruence

Step-by-step explanation:

With the condition that ΔVWX and ΔTUX are equilateral, then the proof are stated below:

Statement                                                   Reason

1. ΔVWX is equilateral                            Given

2. ΔTUX is equilateral                            Given

3. VX ≅ WX                                             Definition of equilateral triangle

4. TX ≅ UX                                              Definition of equilateral triangle

5. <TXW ≅ <UXV                                    Vertical Angle Theorem

6. ΔTWX ≅ ΔUVX                                   Side Angle Side (SAS)

7. UV ≅TW                                               Definition of congruence