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