Given: All dogs like to run Rewrite the above statement as a conditional statement

If it is a dog, then it likes to run

If I like to run, then I am a dog

If it is a dog, then it will like to chase cats

Given: Two lines always intersect at a point. Rewrite the statement above as a conditional statement

If two lines intersect, then they intersect at a point

Two lines do not intersect ever

If two lines cross at point, then they intersect

Two lines do not intersect at a point

What is the hypothesis of the following conditional statement: "If two angles are complementary, then both angles must be acute."

If both angles are acute, then they must be complementary

If two angles are not complementary, then both angles are not acute

If two angles are not acute, then both angles cannot be complementary

What is the conclusion of the statement: "If two numbers are prime, then their product is always odd"

If two numbers are not prime, then their product is not always prime

If two numbers product is always odd, then they are prime

If two numbers product is not always odd, then they are not prime

Given, "If angles are congruent, then the measures of the angles are equal." Identify the converse .

If the measures of the angles are equal, then the angles are congruent.

If angles are not congruent, then the measures of the angles are not equal.

If the measures of the angles are not equal, then the angles are not congruent.

If the angles are not congruent, then the measure of the angles are equal.

Given: "If two angles form a linear pair, then their sum is 180 degrees" What is the inverse ?

If two angles are do not form a linear pair, then their sum is not 180 degrees

If two angles have a sum of 180 degrees, then they form a linear pair

If two angles sum is not 180 degrees, then they do not form a linear pair

Two angles form a linear pair if and only if their sum is 180 degrees

"If two angles are adjacent, then they share a side" What is the contrapositive to the above conditional statement?

If two angles do not share a side, then they are not adjacent

If two angles are not adjacent, then they do not share a side

Two angles are adjacent if and only if they share a side

"If two sides of a triangle are congruent, then the angles opposite those sides are congruent." Which statement is written a biconditional?

Two angles of a triangle are congruent if and only if the sides opposite those angles are congruent.

If two angles of a triangle are congruent, then the sides opposite those angles are congruent.

Two sides of a triangle are congruent and the angles opposite those sides are congruent.

Two sides of a triangle are not congruent or the angles opposite those sides are not congruent.

Which of the following is the biconditional of the statement below? "If there is lightning, then there is thunder."

There is lightning if and only if there is thunder.

If there is not lightning, then there is not thunder.

If there is thunder, then there is lightning.

There is no biconditional statement.

Given: k: Oatmeal is cereal and m: Massachusetts is a city Translate the following: $$\sim k\wedge m$$

Oatmeal is not cereal and Massachusetts is a city

If oatmeal is not cereal, then Massachusetts is a city.

Oatmeal is not cereal or Massachusetts is a city

Oatmeal is not cereal if and only if Massachusetts is a city

Given: k: Oatmeal is cereal and m: Massachusetts is a city Translate the following: $$m\leftrightarrow k$$

Massachusetts is a city if and only if oatmeal is a cereal

Massachusetts is a city and oatmeal is a cereal

Massachusetts is a city or oatmeal is a cereal

If Massachusetts is a city, then oatmeal is a cereal

What can be concluded from the following statements? If Tom goes fishing then he brings a pole. If Tom brings his pole then he catches a fish.

If Tom goes fishing then he catches a fish.

If Tom brings his pole then he goes fishing

If Tom catches a fish then he brought his pole.

Given: “If Jason plays basketball, then Steve sits on the bench. If Steve sits on the bench, then Ronald starts at center.” Which of the following is a valid argument?

If Jason plays basketball then Ronald starts at center.

If Steve sits on the bench then Jason plays basketball.

If Ronald starts at center then Jason plays basketball.

Using the law of detachment, what conclusion can be made from the following: "If you pass this test, then my teacher will be proud of you!" You made an 88 on the test. _______________________________________

Your teacher will be proud of you.

If you made an 88, then your teacher is proud of you.

Your teacher is NOT proud of you.

Using the Law of Contrapositive, what is a valid conclusion given: If this wind keeps up, then we will lose some trees. We did not lose some trees. _________________________________

If we did not lose some trees, then the wind did not keep up

Determine a valid conclusion from the statements: If a person is a librarian, then they read books If a person is a friend of Mercedes, then they read books ___________________________

If a person is a librarian, then they like to read books

If they are not a librarian, then they do not like to read books

What is a valid conclusion given the following statements: If I miss my bus, then I will be late for school. I missed my bus. _________________________________

If I am late for school, then I missed my bus

"If my mother lets me go to the movies, then I will be happy I am not happy" _________________________________________ What is a valid conclusion to the statements above?

My mother did not let me go to the movies

My mother let me go to the movies

If I am not happy then I was not allowed to go to the movies

What is a valid conclusion to the following statements? "If a quadrilateral is a square, then it has four congruent sides. Quadrilateral ABCD has four congruent sides. __________________________________________"

Quadrilateral ABCD is not a square

If Quadrilateral ABCD has four congruent sides, then it is a square

Unit 2: Logic Review

Authored by Samantha Myrtle

Mathematics

9th - 12th Grade

CCSS covered

Used 4+ times

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48 questions

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MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Conditional Statements

Converse Statements

Inverse Statements

Contrapositive Statements

Biconditional Statements

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Conditional Statements

Converse Statements

Inverse Statements

Contrapositive Statements

Biconditional Statements

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Conditional Statements

Converse Statements

Inverse Statements

Contrapositive Statements

Biconditional Statements

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Conditional Statements

Converse Statements

Inverse Statements

Contrapositive Statements

Biconditional Statements

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Conditional Statements

Converse Statements

Inverse Statements

Contrapositive Statements

Biconditional Statements

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

If, then

If and only if

And

Therefore

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