In this video, Robert Ahdoot becomes "surfer dude" and shows us the ways of deductive reasoning, as relating to geometry. He begins with a simple example of a syllogism, taking two premises and using them to form a conclusion. This is called the Law of Syllogism. This concept is then used for geometric statements. If two angles are complementary, they sum to 90 degrees. If two angles sum to 90 degrees, then they are acute. By the law taught, it can be said that if two angles are complementary, they are acute. This video explains the basic properties of deductive reasoning using syllogisms, specifically relating to geometry.
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