# Honors Geometry Companion Book, Volume 1

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

82

Made with FlippingBook - Online magazine maker