Geometry (Beta) / Chapter 5: Quadrilaterals / Squares

Proof: Square is Equilateral 3

Let's prove the following theorem:

if WXYZ is a square, then distance YZ = distance ZW

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 WX = distance YZ if distance WX = distance XY and distance XY = distance YZ, then distance WX = distance YZ
4 distance ZW = distance WX if WXYZ is a square, then distance ZW = distance WX
5 distance YZ = distance ZW if distance ZW = distance WX and distance WX = distance YZ, then distance YZ = distance ZW
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