If you live in Montreal, then you live in Canada What is the converse?

If you live in Canada, then you live in Montreal

What is the converse to this statement?

If it is night, then it is dark outside

If it isn't dark outside, then it is not night.

If it is not night, then it is not dark outside.

Draw a conclusion from the statement. If a whole number is even, then its square is divisible by 4. The number I am thinking of is an even number.

Then its square is divisible by 4

Write the conditional statements as a biconditional statement: 1) If B is between A and C, then AB+BC=AC. 2) If AB+BC=AC, then B is between A and C.

B is between A and C if and only if AB+BC=AC.

B is between A and C when AB+BC=AC if and only if Segment Addition Postulate.

If A= {1,2,3,4,5} then which of the following is not True?

$$\forall\ x\in A$$ , x+6 $$\ge$$ 9

$$\exists\ x\in A$$ such that x+3 = 8

$$\exists\ x\in A\ $$ such that x+2 <9

$$\exists\ x\in A\ $$ such that x+6<10

If p, q, r are simple propositions, then $$(p∧q)∧(q∧r)$$ is true then

p is true and q and r are false

p: The sum of two prime numbers is always prime. q: A triangle can never have two obtuse angles. q Λ ~p

A triangle can never have two obtuse angles and the sum of two prime numbers is not always prime. True

The sum of two prime numbers is not always prime and a triangle can never have two obtuse angles. True

The sum of two prime numbers is always prime or a triangle can never have two obtuse angles.

A triangle can have two obtuse angles and the sum of two prime numbers is not always prime. False

What has to happen in order to write a biconditional statement?

converse of the conditional has to be true

Which of the following is the inverse to the statement: "If you diet and exercise, then you will lose weight."

If you don't diet and exercise, then you will not lose weight.

If you don't diet and exercise, then you will lose weight.

If you lose weight, then you dieted and exercised.

If you don't lose weight, then you diet and exercise.

Which of the following is the converse of the statement: "If you are a guitar player, then you are a musician."

If you are a musician, then you are a guitar player.

If you are not a guitar player, then you are not a musician.

If you are a guitar player, then you are not a musician.

If you are not a musician, then you are not a guitar player.

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

What is the contrapositive of the following statement? If it is Saturday, then the school is closed

If the school is not closed, then it is not Saturday.

If the school is closed, then it is Saturday.

If it is not Saturday, then the school is not closed.

Write the inverse of I f 3 x = 15 , t h e n x = 5. If\ 3x\ =\ 15,\ then\ x\ =\ 5.\ I f 3 x = 1 5 , t h e n x = 5 .

I f 3 x ≠ 15 , t h e n x ≠ 5. If\ \ 3x\ \ne15,\ then\ x\ne5. I f 3 x  = 1 5 , t h e n x  = 5 .

I f x ≠ 5 , t h e n 3 x ≠ 15. If\ x\ \ne5,\ then\ 3x\ \ne15. I f x  = 5 , t h e n 3 x  = 1 5 .

I f x = 5 , t h e n 2 x = 10. If\ x\ =\ 5,\ then\ 2x\ =\ 10. I f x = 5 , t h e n 2 x = 1 0 .

I f x = 5 , t h e n 3 x = 15. If\ x\ =\ 5,\ then\ 3x\ =\ 15.\ I f x = 5 , t h e n 3 x = 1 5 .

What is the contrapositive ( $$\sim q\rightarrow\sim p$$ ) of the statement: If you are 13, then you are a teenager.

If you are not a teenager, then you are not 13.

If you are not 13, then you are a teenager.

If you are 13, then you are not a teenager.

If you are a teenager, then you are 13.

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Authored by Daniel Gyanko

Mathematics

9th - 12th Grade

CCSS covered

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50 questions

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MULTIPLE CHOICE QUESTION

15 mins • 1 pt

In a conditional statement "If A, then B," the "A" is called the ________________________.

hypothesis

conclusion

converse

counterexample

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The __________________________ of a statement S is a statement that will always have the opposite logical value from S. This is given the symbol ~S.

negation

converse

inverse

contrapositive

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The _________________________ of a conditional statement A → B replaces both A and B with their negations. This is written as ~A → ~B .

converse

inverse

contrapositive

biconditional

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The _________________________ of a conditional statement A → B replaces both A and B with their negations. This is written as ~A → ~B .

converse

inverse

contrapositive

biconditional

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The _________________________ of a conditional statement A → B changes the order of A and B. This is written as B → A.

converse

inverse

contrapositive

biconditional

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If a conditional statement is true, then its ________________________ is also true.

converse

contrapositive

inverse

biconditional

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

_________________________ is the branch of mathematics concerned with the properties of shapes, sizes, angles, and dimensions of objects, and the relationships these objects have with each other.

Algebra

Calculus

Geometry

Trigonometry

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untitled

In a conditional statement "If A, then B," the "A" is called the ________________________.

The __________________________ of a statement S is a statement that will always have the opposite logical value from S. This is given the symbol ~S.

The _________________________ of a conditional statement A → B replaces both A and B with their negations. This is written as ~A → ~B .

The _________________________ of a conditional statement A → B replaces both A and B with their negations. This is written as ~A → ~B .

The _________________________ of a conditional statement A → B changes the order of A and B. This is written as B → A.

If a conditional statement is true, then its ________________________ is also true.

_________________________ is the branch of mathematics concerned with the properties of shapes, sizes, angles, and dimensions of objects, and the relationships these objects have with each other.

Given, "If I have a Siberian Husky, then I have a dog." Identify the hypothesis.

Given, "If I have a Siberian Husky, then I have a dog." Identify the conclusion.

When taking the converse we ___________ the hypothesis and conculsion

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