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Geometry

Geometry. 2.1 Inductive Reasoning and Conjecture. Inductive reasoning - reasoning that uses specific patterns or examples to come to a conclusion. Conjecture - concluding statement based on inductive reasoning. Example 1. Write a conjecture for the pattern and give the next three terms.

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Geometry

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  1. Geometry 2.1 Inductive Reasoning and Conjecture

  2. Inductive reasoning- reasoning that uses specific patterns or examples to come to a conclusion. • Conjecture- concluding statement based on inductive reasoning

  3. Example 1 • Write a conjecture for the pattern and give the next three terms. • A. 2, 4, 12, 48, 240 • B.

  4. Example 2 • Make a conjecture and give some examples to support it. • A. The sum of an odd and an even number • B. Segments joining opposite vertices of a rectangle

  5. Counterexample- a false example • To show a conjecture is true, you must prove it. • To show a conjecture is false, you only need one counterexample. • Ex 3: Find a counterexample • A. all students have red hair • B. If x is an integer, then –x is positive.

  6. Homework • Page 93: 1-13, 15-45 odds • Quiz over 2.1 next time!

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