WorksheetsConditionals
Total questions: 21
Worksheet time: 5hrs 15mins
Determine the hypothesis in the following statement:
If a person is at least 16 years old, then the person can drive a car.
If a person is at least 16 years old
a person is at least 16 years old
then the person can drive a car
the person can drive a car
Determine the conclusion in the following statement:
If a person is at least 16 years old, then the person can drive a car.
If a person is at least 16 years old
a person is at least 16 years old
then the person can drive a car
the person can drive a car
Rewrite the conditional statement in if-then form.
A person who is eighteen years old is eligible to vote.
If a person is eighteen years old, then they are eligible to vote.
If a person is a voter, then they are eighteen years old.
If a person is eighteen years old, then they are a voter.
Rewrite the conditional statement in if-then form.
An obtuse angle measures more than 90° and less than 180°.
If an angle is obtuse, then it measures less than 180°.
If an angle is obtuse, then it measures more than 90°.
If an angle is obtuse, then it measures more than 90° and less than 180°.
Write the converse, inverse, and contrapositive of each statement. (match)
If segments are congruent, then they have equal measures.
If segments have equal measures, then they are congruent.
converse
If segments are not congruent, then they do not have equal measures.
inverse
If segments do not have equal measures, then they are not congruent.
contrapositive
Write the converse, inverse, and contrapositive of each statement. (match)
If x is an odd number, then 3x is an odd number.
If 3x is an odd number, then x is an odd number.
converse
If x is not an odd number, then 3x is not an odd number.
inverse
If 3x is not an odd number, then x is not an odd number.
contrapositive
Decide whether the statement is true or false. If false, provide a counterexample.
If it is summer, then it is July.
Decide whether the statement is true or false. If false, provide a counterexample.
If two angles are supplementary, then they are a linear pair.
Decide whether the statement is true or false. If false, provide a counterexample.
If an angle is acute, then its measure cannot be 90°.
Write the converse for the conditional statement.
If an object is a ring, then it is made of gold.
If an object is not a ring, then it is not made of gold.
If an object is made of gold, then the object is a ring.
If the object is not a ring, then it is not made of gold.
Is this statement true or false? If false, name a counterexample.
If an object is made of gold, then the object is a ring.
Write the converse for the conditional statement.
If an object is a bird, then it can fly.
If an object is not a bird, then it cannot fly.
If an object can fly, then it is a bird.
If an object cannot fly, then it is not a bird.
Is this statement true or false? If false, name a counterexample.
If an object can fly, then it is a bird.
Write the converse for the conditional statement.
If your grade is a 96, then you are making an A.
If you are making an A, then your grade is a 96.
If your grade is a 96, then you are making an A.
If your grade is not a 96, then you are not making an A.
Is this statement true or false? If false, name a counterexample.
If you are making an A, then your grade is a 96.
Write the converse for the conditional statement.
If you play football, then you wear a uniform.
If you play football, then you wear a uniform.
If you do not play football, then you do not wear a uniform.
If you wear a uniform, then you play football.
Is this statement true or false? If false, name a counterexample.
If you wear a uniform, then you play football.
Give a Counterexample for “If a number is divisible by 10, it is divisible by 6.”
x=60
x=30
x=20
x=36
Draw a counterexample for “If segment AB ≅ segment BC, then B is the midpoint of segment AC .”
Draw a counterexample for “If point G is on ray TN , then G is on ray NT .”
If two angles share a vertex they must be adjacent angles. Which figure is a counterexample to this conjecture?
