Proof: If Parallelogram Then Sides Congruent

Let's prove the following theorem:

Proof:

Proof Table

#	Claim	Reason
1	△ZWY ≅ △XYW	if WXYZ is a parallelogram, then △ZWY ≅ △XYW (If Parallelogram Diagonal Then Congruent Triangles)
2	distance ZW = distance XY	if △ZWY ≅ △XYW, then distance ZW = distance XY (Congruent Triangles Property 7)
3	distance WZ = distance XY	if distance ZW = distance XY, then distance WZ = distance XY (Distance Property 1)

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