Explaining Pythagorean Relationships with Inductive Reasoning


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What can be used to form a conclusion when reasoning inductively?

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1. If one triangle has sides of length 6, 8 and 10 while another has sides of length 12, 16 and 20, the triangles are _____.

2. Leading to a conclusion based on inductive reasoning, we might say: if two figures have the same area and an equal amount of area is subtracted from each figure, the leftover area in each figure is _____.

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About This Quiz & Worksheet

Assess and review what you know about using inductive reasoning to explain Pythagorean relationships among shapes. You'll revisit what you know about this reasoning and common related terms.

Quiz & Worksheet Goals

Use this quiz and worksheet to review what you know about:

  • What is used to draw a conclusion in inductive reasoning
  • What the Pythagorean Theory says about objects
  • The Pythagorean Theory formula

Skills Practiced

  • Make connections - revisit what you know about inductive reasoning to connect it to statements about Pythagorean relationships
  • Knowledge application - review what you know about inductive reasoning to answer questions about Pythagorean relationships
  • Information recall - see if you can remember the formula for Pythagorean relationships

Additional Learning

Review more about this topic with the lesson Explaining the Pythagorean Relationships with Inductive Reasoning. This lesson offers more detail about:

  • What inductive reasoning is
  • Summary statement of Pythagorean relationships
  • What inductive reasoning tells us about right triangles
  • Other shapes explained with inductive reasoning
  • Multiple examples