Geometry conditional statements and their converse
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Transcript of Geometry conditional statements and their converse
You’ll Learn to write conditional statements in if-then form
and write the converse of the statements
Today’s Objective
Key Vocabulary
Conditional statement
Hypothesis
Conclusion
Converse
“IF-THEN” statements join two statements together
based on a condition.
If a number is divisible by 2, then it is an even number
THEREFORE, if-then statements are also called
CONDITIONAL STATEMENTS If P, then Q
If ~P, then ~Q
If a number is divisible by 2, then it is an even number
Conditional statements have two parts:
• Hypothesis
• Conclusion
Hypothesis Conclusion
How do you know if a conditional statement is true or not?
In Geometry, postulates and Theorems are often written
as conditional statements. You should be able to easily
identify the hypothesis and conclusion in these postulates
and Theorems.
If two parallel lines are cut by a transversal, then the
opposite interior angles are congruent.
The CONVERSE of a conditional statement is formed by
exchanging the hypothesis and the conclusion.
If P, then Q
If Q, then P
If a figure is a triangle, then it has three angles.
If a conditional statement is true, is its converse
always true?
If a figure is a square, then the figure has 4 sides.
Write a conditional statement
for the ad, and write its
converse.