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WorksheetsConditional Statements and Proofs Review
Total questions: 36
Worksheet time: 2hrs 7mins
Which of the following is true about the conditional statement below?
If a man is 7 feet tall, then he plays basketball.
Hypothesis: a man is 7 feet tall
Conclusion: he plays basketball
Hypothesis: IF a man is 7 feet tall
Conclusion: THEN he plays basketball
Hypothesis: THEN he plays basketball
Conclusion: IF a man is 7 feet tall
Hypothesis: he plays basketball
Conclusion: a man is 7 feet tall
Which of the following is the CONVERSE of the statement below?
If an object is a ring, then it is
made of gold.
If an object is made of gold, then it is a ring.
If an object is not a ring, then it is not made of god.
If an object is not made of gold, then it is not a ring.
There is no converse of the statement.
Which of the following is the CONVERSE of the statement below?
If an object is a bird, then it can fly.
If an object can fly, then it is a bird.
If an object is not a bird, then it cannot fly
If an object cannot fly, then it is not a bird
There is no converse of the statement
Which of the following is the CONVERSE of the statement below?
If you play football, then you wear
a uniform.
If you wear a uniform, then you play football.
If you do not play football, then you do not wear a uniform.
If you do not wear a uniform, then you do not play football.
There is no converse of the statement.
Which of the following is the INVERSE of the statement below?
If an object is a computer, then it
has a hard drive.
If an object is not a computer, then it does not have a hard drive.
If an object does not have a hard drive, then it is not a computer.
If an object has a hard drive, then it is a computer.
There is no inverse of the statement.
Which of the following is the INVERSE of the statement below?
If an object is a battery, then it is
rechargeable.
If an object is not a battery, then it is not
rechargeable.
If an object is rechargeable, then it is not a battery.
If an object is not rechargeable, then it is not a battery.
There is no inverse of the statement.
Which of the following is the INVERSE of the statement below?
If an object is a battery, then it is
rechargeable.
If an object is not a battery, then it is not
rechargeable.
If an object is rechargeable, then it is not a battery.
If an object is not rechargeable, then it is not a battery.
There is no inverse of the statement.
Which of the following is the CONTRAPOSITIVE of the statement below?
If a species walks on two feet, then
it is human.
If a species is not human, then it does not walk on two feet.
If a species is human, then it walks on two feet.
If a species does not walk on two feet, then it is not human.
There is no contrapositive of the statement.
Which of the following is the CONTRAPOSITIVE of the statement below?
If a gem is a ruby, then it is red.
If a gem is not red, then it is not a ruby.
If a gem is not a ruby, then it is not red.
If a gem is red, then it is a ruby.
There is no contrapositive statement.
Which of the following is the CONTRAPOSITIVE of the statement below?
If a species is a fish, then it lives in
water.
If a species does not live in water, then it is not a fish.
If a species is not a fish, then it does not live in water.
If a species lives in water, then it is a fish.
There is not contrapositive of the statement.
Which of the following is the BICONDITIONAL of the statement below?
If there is lightning, then there is thunder.
If there is not lightning, then there is not thunder.
If there is thunder, then there is lightning.
There is lightning if and only if (iff) there is thunder.
There is no biconditional statement.
Which of the following is the BICONDITIONAL of the statement below?
If it is water, then it is wet.
If it is not wet, then it is not water.
If it is wet, then it is water.
It is water if and only if (iff) it is wet.
There is no biconditional statement.
Which of the following is a valid conditional statement for the following phrase:
An acute angle has a measure less than 90°.
If an angle is acute, then it has a measure less than 90°.
If an angle is not acute, then it does not have a measure less than 90°.
If an angle is acute, then it is acute.
If an angle does not measure less than 90°, then it is not acute.
If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?
An angle is acute if and only if (iff) it has a measure less than 90°.
Biconditional
Converse
Inverse
Contrapositive
If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?
If an angle does not have a measure less than 90°, then it is not acute.
Contrapositive
Converse
Biconditional
Inverse
If the conditional statement was "If an angle is acute, then it has a measure less than 90°.", which type of statement is the following?
If an angle is not acute, then it does not have a measure less than 90°.
Inverse
Contrapositive
Biconditional
Converse
If 9=x, then x=9
39=39
Given: B is the midpoint of AC. What should you conclude?
AB + BC = AC
AB = BC
A is the segment bisector of BC
ABC is a straight angle
What is the missing statement in the proof?
Addition property
Segment Addition Postulate
Substitution property
Transitive property
Which Reason best fits the statement?
Vertical Angle Theorem
Definition of Linear Pair
Addition Property
Transitive Property
Which Reason best fills in the blank?
Definition of parallel lines
Definition of a right angle
Definition of perpendicular lines
All right angles are congruent
Which option is best to fill in Statement 3 ?
m∠2≅m∠4
∠2=∠4
m∠2=m∠4
m∠6=m∠5
