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Logic Worksheet
Name:_____________________
Date:___________ Per:_______
For #1 – 6 write the converse, inverse, and contrapositive of the given conditional statement. Also
determine if each statement is true or false, if a statement is false then give a counterexample.
1.) If you are a pitcher, then you play baseball.
True/False
Converse:
True/False
Inverse:
True/False
Contrapositive:
True/False
2) If a figure is a rectangle, then it has four right angles.
True/False
Converse:
True/False
Inverse:
True/False
Contrapositive:
True/False
3.) If an angle measure is 120, then it is an acute obtuse.
True/False
Converse:
True/False
Inverse:
True/False
Contrapositive:
True/False
For #4 – 6 write the converse of each statement. Determine if each statement is true or false. If
both the conditional and converse statements are true re-write them as a biconditional statement. If
the statement is false write a counterexample.
4.) If two angles have the same measurement, then they are congruent.
Converse:
Biconditional/counterexample:
5.) If a number is not divisible by 2, then it is odd.
Converse:
Biconditional/counterexample:
6.) If a quadrilateral is a square, then it has four congruent sides and angles.
Converse:
Biconditional/counterexample:
Write 2 conditional statements that you can write as biconditional statements then rewrite it as a biconditional
statement.
Statement #1: ___________________________________________________________________________
_________________________________________________________________________________________
Biconditional Statement: __________________________________________________________________
_________________________________________________________________________________________
Statement #2: ___________________________________________________________________________
_________________________________________________________________________________________
Biconditional Statement: __________________________________________________________________
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