Does proving that two lines are parallel require a postulate?
Barrett Osborn
Answered question
2022-11-18
Answer & Explanation
Nkgopotsev1g
Beginner2022-11-19Added 15 answers
() If two lines form equal corresponding angles with a transversal, then the lines are parallel.
() If two lines are parallel, then they form equal corresponding angles with a transversal.
In euclidean geometry, you need an additional postulate to prove theorem () (the famous "Euclid's fifth postulate"), while that is not needed to prove theorem ().
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