Name ______________________
Date _______________
Period _____
Section 2-2: Conditional Statements
Objectives: 1. Identify, write, and analyze the truth value of conditional statements.
2. Write the inverse, converse, and contrapositive of a conditional statement.
Conditional statement – a statement that can be written as an if-then statement, “if p, then q.”
If __________________, then _________________.
__________________
_________________
Other Forms of Conditional Statements
Conditional: If p, then q.
hypothesis conclusion
p implies q
p only if q
q if p
Examples:
For each conditional, underline the hypothesis and double-underline the conclusion.
1. If a person is at least 16 years old, then the person can drive a car.
2. A figure is a parallelogram if it is a rectangle.
3. The statement a – b < a implies that b is a positive number.
4. If x is an even number, then x is divisible by 2.
For Exercises 7–9, write a conditional statement from each given statement.
7. Congruent segments have equal measures.
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8. On Tuesday, play practice is at 6:00.
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9.
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Related Conditional Statements
Conditional
Converse
The converse statement is formed by
A conditional consists of a hypothesis h and a
exchanging the hypothesis with the
conclusion c.
conclusion.
If h , then c .
If c , then h .
EXAMPLE
EXAMPLE
If m∠Z = 25°, then ∠Z is acute.
If ∠Z is acute, then m∠Z = 25°.
This statement is ________.
This statement is ________.
Determine the converse of the conditional statements. Indicate whether each conditional statement is
true or false and whether each converse is true or false.
10.
Conditional statement: If R is the midpoint of QS , then QR  RS .
Converse: __________________________________________________________
Conditional Statement: TRUE or FALSE
Converse: TRUE or FALSE
Counterexample: __________________
Counterexample: ___________________
11.
Conditional Statement: If m∠A = 140°, then ∠A is obtuse.
Converse: _____________________________________________________________________
Conditional Statement: TRUE or FALSE
Converse: TRUE or FALSE
Counterexample: __________________
Counterexample: ___________________
12. Conditional Statement: If x2 = 49, then x = 7.
Converse: _____________________________________________________________________
Conditional Statement: TRUE or FALSE
Converse: TRUE or FALSE
Counterexample: __________________
Counterexample: ___________________
13. If an angle has a measure less than 90°, then it is acute.
Converse: _____________________________________________________________________
Conditional Statement: TRUE or FALSE
Converse: TRUE or FALSE
Counterexample: __________________
Counterexample: ___________________