Proof: If Parallelogram Bisect

Let's prove the following theorem:

if WXYZ is a parallelogram and m∠WPY = 180 and m∠XPZ = 180, then distance ZP = distance XP

Z W X Y P

Proof:

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

Given
1 WXYZ is a parallelogram
2 m∠WPY = 180
3 m∠XPZ = 180
Proof Table
# Claim Reason
1 △PYZ ≅ △PWX if WXYZ is a parallelogram and m∠WPY = 180 and m∠XPZ = 180, then △PYZ ≅ △PWX
2 distance ZP = distance XP if △PYZ ≅ △PWX, then distance ZP = distance XP

Comments

Please log in to add comments