A proof consists of a series of arguments, starting from an original assumption and steps to show that a given assertion is true. Show
Euclid assumed a set of axioms and postulates. Then, he systematically showed the truth of a large number of other results based on these axioms and postulates. In our study of geometry proofs, we will learn to do the same. We will learn how to construct a proof using only these axioms and postulates and using results that we have already proved earlier. The foundation geometric proofs all exist only because of the truth of the various results and theorems. Come, let us learn in detail about geometry proofs in this mini-lesson. Lesson PlanWhat Are Geometric Proofs?A geometric proof is a deduction reached using known facts like Axioms, Postulates, Lemmas, etc. with a series of logical statements. A two-column geometry proof is a problem involving a geometric diagram of some sort. You’re told one or more things that are true about the diagram (the givens), and you’re asked to prove that something else is true about the diagram (the prove statement). Every proof proceeds like this:
Every standard, two-column geometry proof contains the following elements. The proof mockup in the above figure shows how these elements all fit together.
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