Conditional, Converse, Inverse, Contrapositive

Given the statement;

"If it snows then the school will be closed"

Which is the inverse?

• If the school is open, then it didn't snow.

• If the school is closed, then it snowed.

• If it doesn't snow, then the school will be open.

• Let it Snow!

Tags

CCSS.HSS.CP.A.1

CCSS.HSS.CP.A.5

Given the conditional statement;

"If it is Wednesday, then Jane doesn't have baseball practice."

What is the hypothesis of this statement.

• It is Wednesday

• Jane doesn't have baseball practice

• If it is Wednesday

• Then Jane doesn't have baseball practice

Given the conditional statement;

"If I am hungry, then I eat."

Which of the following is the inverse?

• If I eat, then I am hungry.

• If I don't eat then I am not hungry

• If I am not hungry, then I don't eat.

• If I am not hungry, then I eat.

Tags

CCSS.HSS.CP.A.3

Given the conditional;

"If Jose eats fish, then he has an allergic reaction"

Which of the following is the converse?

• None of these

• If Jose doesn't have an allergic reaction, then he didn't eat fish.

• If Jose doesn't eat fish, then he doesn't have an allergic reaction.

• If Jose has an allergic reaction, then he ate fish.

What is the contrapositive to this?

• If an angle is not greater than 90, then it is not obtuse

• If an angle is not obtuse then it is not greater than 90.

• If an angle is 90, then it is right

• If an angle is not greater than 90 then it must be acute

Tags

CCSS.HSG.CO.A.1

Given the statement

"If I study, then I will do well in the quiz" and what is the statement "If I don't study then I won't do well in the quiz"?

• Converse

• Inverse

• Contrapositive

• Contrainverse

What is the contrapositive to this?

• If the food is not cooked, then it is not in the oven.

• If the food is not in the oven, then it is not cooked.

• If the food is cooked, then its in the oven.

• If food is not in the oven, then its cooked.

Statement : If an isosceles triangle has 3 sides, then the isosceles triangle has 3 axes of symmetry

Choose the correct contrapositive for the given statement.

• If an isosceles triangle has 3 axes of symmetry, then the isosceles triangle has 3 sides.

• If an isosceles triangle has 3 sides, then the isosceles triangle did not has 3 axes of symmetry.

• If an isosceles triangle did not has 3 sides, then the isosceles triangle did not has 3 axes of symmetry.

• If an isosceles triangle did not has 3 axes of symmetry, then the isosceles triangle did not has 3 sides.

For the contrapositive we _________ the hypothesis and conclusion

• switch
• negate
• switch and negate

Statement : If 13 is an even number, then 13 is not divisible by 2

Choose the correct converse for the given statement.

• If 3 is an odd number, then 13 is divisible by 2

• If 13 in not divisible by 2, then 13 is an odd number

• If 13 is not divisible by 2, then 13 is an even number

• If 13 is divisible by 2, then 13 is an odd number