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.