Conditional Converse Inverse Contrapositive

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

• 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.

If Emily is not late to class, then she will not be marked tardy.
What is this? If Emily is late to class, then she will be marked tardy.

• Converse

• Inverse

• Contrapositive

• Negation

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.

What is the if-then-form of the following statement? "It is time for dinner if it is 6 pm."

• If it is 6pm, then it is time for dinner.

• If it is time for dinner, then it is 6pm.

• If you want to eat dinner, then you must eat at 6pm.

• None of these are right

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. 

Given the conditional; "If Ty'Shawn is late then he will get a tardy" What is the inverse?

• If Ty'Shawn is on time, then we won't get a tardy.

• If Ty'Shawn gets a tardy, then he is late.

• If Ty'Shawn is late then he won't get a tardy.

• If Ty'Shawn doesn't get a tardy, then he is on time.

Given the conditional;

"If Destiny goes to work tonight, then she will make money"

What is the conclusion?

• Destiny goes to work tonight

• Destiny doesn't go to work

• She will make money

• then she will make money

If our class earns ten trucks, then we get a treat.

What is the contrapositive?

• If our class doesn't earn ten trucks then we don't get a treat.

• If our class doesn't get a treat, then we didn't earn ten trucks.

• If out class earns ten trucks then we don't get a treat.

• Trucks!

If it snows then school will be closed

Which is the inverse?

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

• If school is closed, then it snowed.

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

• Let it Snow!

Given the conditional;

"If it is a duck then it has a beak."

Which is the converse?

• If isn't not a duck, then it doesn't have a beak.

• If it is a duck, then it quacks.

• If it doesn't have a beak, then it's not a duck.

• If it has a beak, then it is a duck.