Question

Geometry
Show work (theorems used) and steps

Answer 1

Given :

• Segment WX ≅ Segment VZ
• Segment WY ≅ Segment VY
• Segment YZ ≅ Segment YX

To prove :

• ∆VWX ≅WVZ

Proof :

In ∆VWX & ∆WVZ,

• WX = VZ ........ (given)
• WZ = VX ........(WY=VY,YZ=YX,WY +YZ=VY + YZ)
• ∠VWX = ∠XVZ ......(angles formed on the same base between two parallel lines are equal)
• ∴ ∆VWX ≅WVZ by side-angle-side criterion

Hence, proved ✓