Sunday, October 2, 2016

What are the Basic Terms in Geometry?

POSTULATE - a statement that is accepted as true without proof.
Example: two points determine a line.
AXIOM - is an assumption accepted without proof.
THEOREM - a statement whose truth is accepted only after it has been proven.
Example: "the side of the square of the two sides of a triangle is equal to the square of the longest side"
COROLLARY TO A THEOREM - a statement whose proof follows that of a given theorem.
CONJECTURE - is an educational guess which results from observations. This still needs to be proven. For short summary conjecture considered as hypothesis.

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