Proof: Square is Rhombus

Let's prove the following theorem:

if WXYZ is a square, then WXYZ is a rhombus

Y W X Z

Proof:

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Given
1 WXYZ is a square
Proof Table
# Claim Reason
1 distance WX = distance XY if WXYZ is a square, then distance WX = distance XY
2 distance XY = distance YZ if WXYZ is a square, then distance XY = distance YZ
3 distance YZ = distance ZW if WXYZ is a square, then distance YZ = distance ZW
4 WXYZ is a rhombus if distance WX = distance XY and distance XY = distance YZ and distance YZ = distance ZW, then WXYZ is a rhombus

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