2.1.2 Conditional Statements − Worksheet

Example 1: Identify the hypothesis and conclusion of each conditional. 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.

Example 2: Write a conditional statement from each of the following. 4. Eighteen-year-olds are eligible to vote.

2

5. a b

<

a b

a b when 0 . < <

Example 3: Determine if each conditional is true. If false, give a counterexample. 6. If three points form a triangle, then they lie in the same plane.

7. If x > y , then | x | > | y |.

8. If the season is spring, then the month is March.

Example 4: 9. Write the converse, inverse, and contrapositive of the following conditional statement. Find the truth value of each.

If Brielle drives at exactly 30 mi/h, then she travels 10 mi in 20 min.

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