Proof: Corresponding Angles Then Parallel 3
Let's prove the following theorem:
if m∠YKJ = m∠WJI and m∠WJX = 180 and m∠YKZ = 180 and m∠KJI = 180, then YZ || WX
Proof:
Proof Table
# | Claim | Reason |
---|---|---|
1 | m∠WJI = m∠YKJ | if m∠YKJ = m∠WJI, then m∠WJI = m∠YKJ |
2 | m∠IJK = 180 | if m∠KJI = 180, then m∠IJK = 180 |
3 | WX || YZ | if m∠WJI = m∠YKJ and m∠WJX = 180 and m∠YKZ = 180 and m∠IJK = 180, then WX || YZ |
4 | YZ || WX | if WX || YZ, then YZ || WX |
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