Geometry (Beta) / Chapter 5: Quadrilaterals / Squares

Proof: Square is Equilateral

Let's prove the following theorem:

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

Y W X Z

Proof:

View as a tree | View dependent proofs | Try proving it

Given
1 WXYZ is a square
Proof Table
# Claim Reason
1 WXYZ is a rectangle if WXYZ is a square, then WXYZ is a rectangle
2 WXYZ is a parallelogram if WXYZ is a rectangle, then WXYZ is a parallelogram
3 distance WX = distance XY if WXYZ is a square, then distance WX = distance XY
4 distance WX = distance ZY if WXYZ is a parallelogram, then distance WX = distance ZY
5 distance XY = distance ZY if distance WX = distance XY and distance WX = distance ZY, then distance XY = distance ZY
6 distance XY = distance YZ if distance XY = distance ZY, then distance XY = distance YZ
Previous Lesson Next Lesson

Comments

Please log in to add comments