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Reasoning in Geometry

These lessons are part of a series of free, online High School Geometry Video Lessons.

We also have more videos, worksheets, and activities to help Geometry students.

In these lessons, we will learn

  • Inductive reasoning
  • Deductive reasoning

Inductive Reasoning

Inductive reasoning is the process of observing, recognizing patterns and making conjectures about the observed patterns. Inductive reasoning is used commonly outside of the Geometry classroom; for example, if you touch a hot pan and burn yourself, you realize that touching another hot pan would produce a similar (undesired) effect.

How to define inductive reasoning, how to find numbers in a sequence.
This video will define inductive reasoning, use inductive reasoning to make conjectures, determine counterexamples.

Inductive Reasoning & Conjectures
Use inductive reasoning to identify patterns and make conjectures.
Proving Conjectures & Counterexamples
Find counterexamples to disprove conjectures.


Deductive Reasoning

Deductive reasoning is the process of reasoning logically from given statements to make a conclusion. Deductive reasoning is the type of reasoning used when making a Geometric proof, when attorneys present a case, or any time you try and convince someone using facts and arguments.

How to define deductive reasoning and compare it to inductive reasoning.
This video defines deductive reasoning and the basic rules of logic.

Deductive Reasoning Problem 1.
Deductive Reasoning Problem 2.
Deductive Reasoning Problem 3.


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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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