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In short, theorems.

In the greater sense it proves a conclusion that has been suspected. Given a geometric diagram it can prove new facts about the lengths of lines, values of angles, and relationships between points, lines, angles, and polygons.

For example, given a 30-60-90 triangle a person can find the proportion of the side lengths by using the 30-60-90 triangle proof.

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Q: What is proven by a geometric prove?
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