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Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
4. Proving Statements about Segments and Angles
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Exercise 45 Page 476

What does inductive reasoning use to prove something?

See solution.

Practice makes perfect
To answer this question, we first have to think about the difference between deductive and inductive reasoning.
  • Deductive reasoning shows that something is true for the general case.
  • Inductive reasoning shows that something is true for a specific case.

Inductive reasoning uses patterns to prove something. Notice the quotation marks as using patterns to prove something suggests that outcomes can vary. Therefore, this is not a proof in its strictest sense. Mathematically, a proof sets out to prove the general case, which cannot be done by using patterns.

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arrow_right Communicate Your Answer p.467
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Communicate Your Answer 4 (Page 467)
arrow_right Monitoring Progress p.468-472
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