What are the signifance of geometrical proofs?

The ability to prove using a step-by-step process is extremely important in real life, so it has to be taught at some point during the high school experience. One reason geometry classes teach proofs is that geometry lends itself to proving more than any other subject. A second reason is that many (most?) non-abstract and even abstract algebraic proofs have a geometric interpretation.

A third reason is that calculus, believe it or not, is enormously based on geometry, and calculus needs proofs. A fourth reason is that there is too much geometry to learn in a geometry class, and without proofs learning the geometry becomes impossible.

What a proof does is the PROVING. If you don't know the proof and just learn the theory, you'll just memorize it without really understanding it. So you'll have to have an extra effort to memorize them.

Other than that, you will at some point question the theory itself as you have no idea how it originated. Hope this explains it. :-).

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