Proof: Square Example

Let's prove the following theorem:

if distance WX = distance XY and distance XY = distance YZ and distance YZ = distance ZW and ∠WXY is a right angle, then WXYZ is a square

Y W X Z

Proof:

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

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