Laws of Detachment and Syllogism

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# Laws of Detachment and Syllogism - PowerPoint PPT Presentation

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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### Laws of Detachment and Syllogism

Geometry

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

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

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.

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.

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.

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

Law Worksheet

QUIZ Monday!!!