A Detailed Proof about Congruent Angles

In this post, I want to explain in details how to prove about congruent angles. In the diagram below, and are complementary angles. Also, and are complementary angles. Now, if is congruent to , prove that is congruent to angle . Proof From the problem above, we have the following facts (given). and are complementary […]
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5 Help Tools for Learning Mathematical Proofs

Before proving a theorem, mathematicians must be able to find something to prove. They must see patterns, explore them, test for many cases, and make conjectures and generalization. The final part of the process is the proof. Mathematicians during the early times rely only pencil and paper in investigating patterns. Today, hundreds of free and […]
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What are mathematical proofs, really?

Introduction In an elementary class, the teacher asked the pupils to do an experiment. He told them to plant flowers and group the flowers into two. ┬áThe first group was to be placed outdoors where there is sunlight. The other group was to be kept in a dim room. After a while, the pupils observed […]
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