Question

VWX and TUX are equilateral complete proof that UV = TW

Answer 1

6. Side Angle Side (SAS)

7. Definition of congruence

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