I am not really sure what you are asking but there are 3 types of proofs in geometry a flow proof, a 2-collumn proof, and a paragraph proof.
contradiction
A direct proof in geometry is a proof where you begin with a true hypothesis and prove that a conclusion is true.
Theorems are statements in geometry that require proof.
A proof that uses techniques from geometry.
An axiom.
contradiction
contradiction
An indirect proof is a proof by contradiction.
A direct proof in geometry is a proof where you begin with a true hypothesis and prove that a conclusion is true.
Theorems are statements in geometry that require proof.
A proof that uses techniques from geometry.
if you type in Amsco Geometry online textbook answers, the first or second link works =]
Mathematicians do proof in order to solve Geometry theorems.
An axiom.
There is a beautiful proof of Euler's Therom, using the area of the sphere and spherical geometry.
Once you familiarize yourself with the basic axioms and theorems of geometry, you will be able to see how they apply to the proof of any particular problem that you may be working on.
I'll take Geometry for 800, Alex.And the Answer Is, "These were the only tools allowed by classical geometry in the proof of a theorem".