Worksheet 2.4 Bi-Conditional Statements
Name _____________________
Geometry Regular
Date
_____________ Mod ____
Score _____ out of 4
Write true or false for each statement. A biconditional is true only if both the
conditional and converse are true. If the biconditional is false, give a
counterexample.
1.
Conditional: If x = 1, then x > 0.
__________
Converse:
If x > 0, then x = 1.
__________
Biconditional: x = 1 if and only if x > 0.
__________
Counterexample:
____________________________
2.
Conditional: If it is 3:30 AM, then it is night.
__________
Converse:
If it is night, then it is 3:30 AM.
__________
Biconditional: It is 3:30 AM if and only if it is night.
__________
Counterexample: ____________________________
3.
Colton says “I will graduate from high school if and only if I earn a high school
diploma.” Is Colton’s biconditional true or false?
__________
Write the conditional statement and converse within each biconditional.
4.
The tea kettle is whistling if and only if the water is boiling.
Conditional: _____________________________________________________
Converse: ______________________________________________________
5.
A biconditional is true if and only if the conditional and converse are both true.
Conditional: _____________________________________________________
Converse: ______________________________________________________
For each conditional, write the converse and a biconditional statement.

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- Fall '19
- Right triangle, Switch statement, If and only if, Logical biconditional