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What is a real world example of a postulate or axiom?
an axiom is a fact/property such as "ac = ca"
What is an example of a symmetric property of equality?
If a = b then b = a
What is the difference between an axiom and a theorem?
An axiom is a self-evident statement that is assumed to be true. A theorem is proved to be true.
What is a sentence for the word axiom?
"A geometry rule that we accept to be true without any proof is called an axiom." "The axiom 'might makes right' is often true in the governments of the world.
Do parrallel lines meet?
Not in Euclidean Geometry. Euclid's 5th axiom is that parallel lines never meet. However, unlike the first 4 axiom, it is impossible to prove the 5th axiom; depending upon the situation, you can either assume that parallel lines meet or don't; when they do meet, there are some very interesting consequences (for example, the possibility of a hyperbolic space). To my knowledge, if they meet, they are intersecting/perpendicular lines.
