2.1.2 Conditional Statements − Practice
1. Convert the following statement into a conditional. A quadrilateral with 4 congruent sides and 4 congruent angles is a square.
2. Identify the hypothesis and conclusion of the conditional. A quadrilateral with congruent angles and sides is called a square.
3. Determine whether the statement is true or false. If false, give a counter example. If 127° is a right angle, then it is an angle.
4. Determine whether the statement is true or false. If false, give a counter example. If b 3 = − 27, then b = − 3.
5. Correctly match the p − q notation with the corresponding related conditional statements. ○ p → q : Conditional q → p : Inverse ~ p → ~ q : Converse ~ q → ~ p : Contrapositive
6. Write the converse, inverse, and contrapositive of the conditional statement. Find the truth value of each. If John is on vacation, then he is in London.
○ p → q : Conditional q → p : Converse ~ p → ~ q : Inverse
~ q → ~ p : Contrapositive
○ p → q : Conditional q → p : Converse
~ p → ~ q : Contrapositive ~ q → ~ p : Inverse
○ p → q : Conditional q → p : Contrapositve ~ p → ~ q : Inverse ~ q → ~ p : Converse
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