Law of Syllogism in Geometry: Definition & Examples

Instructions:

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question 1 of 3

Determine whether a valid conclusion can be reached using the law of syllogism if the two given statements are true. If so, then tell what the conclusion is.

Statement 1: If there is rain in the forecast, then the softball game will be called off.

Statement 2: If the softball game is called off, then the players will be disappointed.

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1.

Determine whether a valid conclusion can be reached using the law of syllogism if the two given statements are true. If so, then tell what the conclusion is.

Statement 1: If the stock car racer drives too fast into the corner, then he will lose traction.

Statement 2: If the stock car racer loses traction, then he will drive too fast into the corner.

2.

If statements 1 and 2 are true, is statement 3 a valid conclusion by the law of syllogism? Why or why not?

Statement 1: If you are studying the Gettysburg Address, then you are studying the Civil War.

Statement 2: If you are studying the Civil War, then you are a History Major.

Statement 3: If you are studying the Gettysburg Address, then you are a history major.

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About This Quiz & Worksheet

The law of syllogism assessment, via this quiz and worksheet, will help determine your understanding of this geometric principle. You'll learn things like valid conclusions and analyzing statements.

Quiz & Worksheet Goals

The quiz and worksheet will test what you know about:

  • Understanding why given statements are valid according to the law of syllogism
  • Reaching conclusions
  • Identifying statements as to their patterns of syllogism

Skills Practiced

Use the quiz and worksheet to gain perspective along the following guidelines:

  • Reading comprehension - ensure that you draw the most important information from the related lesson on the law of syllogism
  • Interpreting information - verify that you can read information regarding different statements and interpret it correctly
  • Information recall - access the knowledge you've gained regarding valid conclusions

Additional Learning

Learn more of the law of syllogism with this lesson called Law of Syllogism in Geometry: Definition & Examples. The lesson will teach you the following:

  • Define the law of syllogism
  • Recognize invalid conclusions
  • Understand possible conclusions
  • Be able to realize when you are being misled
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