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
“If two lines are parallel, then they are coplanar”
(at least one sentence per bullet)
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
The measure of angle A is greater than 90⁰.
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.
If angles are a linear pair, then they are supplementary.
If angles are supplementary, then their sum is 180⁰.
If angles are a linear pair then their sum is 180⁰.