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Q: What is a statement in geometry that can be proved?

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A theorem is a statement or proposition which is not self-evident but which can be proved starting from basic axioms using a chain of reasoned argument (and previously proved theorems).

a triangle that has no equal sides a statement that can be proved

parametric representations in computational geometry.

a branch of mathematics in which theorems on geometry are proved through logical reasoning

A theorem is a statement that is proved by deductive logic.

In general a contradiction cannot be proved.

No. A corollary is a statement that can be easily proved using a theorem.

A corollary is a statement that can easily be proved using a theorem.

No. A corollary is a statement that can be easily proved using a theorem.

somthing

fact

NEGATION :)

postulates

hypothesis

Theorems are statements in geometry that require proof.

corollary statement

Myths

An axiom.

postulates cannot be proved, they are the base of geometry and there isn't anything to prove it with. if the postulates were wrong then all of euclidian geometry would be wrong. that is like saying how do we know the English language is correct, it is the basis for communication and if it wasn't, then how would speaking the language work?

A conditional statement is much like the transitive property in geometry, meaning if: P>Q and ~N>P then you can conclude: if ~N>Q

1 + 1 = 2

fact

fact

Every statement apart from the axioms or postulates.

A theorem is a statement that has been proven by other theorems or axioms.