laws of detachment and syllogism n.
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Laws of Detachment and Syllogism. Geometry. Journal Prompt – “Conditionals”. Using the conditional statement below, write a paragraph explaining… How to find the converse H ow to determine the truth value of the conditional How to determine the truth value of the converse

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Presentation Transcript
journal prompt conditionals
Journal Prompt – “Conditionals”
  • Using the conditional statement below, write a paragraph explaining…
    • How to find the converse
    • How to determine the truth value of the conditional
    • How to determine the truth value of the converse
    • How to determine if you can write a biconditional and if you can, how would you write it

“If two lines are parallel, then they are coplanar”

(at least one sentence per bullet)

2 3 laws of detachment and syllogism
2.3 Laws of Detachment and Syllogism

Law of Detachment: If a conditional is true and its hypothesis is true, then its conclusion is true.

If p  q is a true statement and p is true, then q is true

slide4

Use the Law of Detachment to draw a conclusion. If it is not possible to draw a conclusion based on the given information write not possible

  • Given:
  • If an angle is obtuse, then its measure is greater than 90⁰.
  • Angle A is obtuse.

Conclusion:

The measure of angle A is greater than 90⁰.

slide5

Given:

  • If an angle is obtuse, then its measure is greater than 90⁰.
  • The measure of angle A is greater than 90⁰.

Conclusion:

Cannot draw a conclusion. You are only told the conclusion of the statement above is true.

slide6

Law of Syllogism: If p  q and q  r are true statements, then p  r is a true statement.

use the law of syllogism to draw a conclusion
Use the Law of Syllogism to draw a conclusion.

Given:

If angles are a linear pair, then they are supplementary.

If angles are supplementary, then their sum is 180⁰.

Conclusion:

If angles are a linear pair then their sum is 180⁰.

homework
Homework

Law Worksheet

QUIZ Monday!!!