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There is no single statement that describes a geometric proof.
The Pythagorean Theorem is not a triangle. It's a statement that describes a relationship among the lengths of the sides in any right triangle.
That which is considered and established as a principle; hence, sometimes, a rule., A statement of a principle to be demonstrated., To formulate into a theorem.
They are propositions that have been proved to be true.
That is a theorem.A theorem.