20 questions
Negate the following conditional statement:
It is raining
It is not raining.
It is raining.
It is sunny.
It is not sunny.
What is the conclusion of the following statement: "If Johnny is late to school, then his mom will have to drive him."
His mom will have to drive him
If Johnny is late to school
Johnny is late to school
Then his mom will have to drive him
What is the inverse of "If it is Saturday, then it is the weekend"?
If it is the weekend, then it is Saturday.
It is Saturday if and only if it is the weekend.
If it is not the weekend, then it is not Saturday.
If it is not Saturday, then it is not the weekend.
What is the inverse?
If Jason does not go out to dinner, then he will come to the volleyball game.
If Jason goes out to dinner, then he will not come to the volleyball game.
If Jason comes to the volleyball game, then he will not go out to dinner.
Jason does not go out to dinner if and only if he will come to the volleyball game.
If Jason does not come to the volleyball game, then he will go out to dinner.
"If a polygon is a quadrilateral, then it is a trapezoid."
What is the inverse of this statement?
If the polygon is not a quadrilateral, then it is not a trapezoid.
If the polygon is not a trapezoid, then it is not a quadrilateral.
If the polygon is a trapezoid, then it is a quadrilateral.
A polygon is a quadrilateral if and only if it is a trapezoid.
What is the converse?
If we are at the park, then we will swing.
If we are not at the park, then we will not swing.
If we will not swing, then we are not at the park.
We are at the park if and only if we will swing.
If we will swing, then we are at the park.
What is the converse of “If you saw the movie, then you know how it ends”?
If you know how the movie ends, then you saw the movie.
If you did not see the movie, then you do not know how it ends.
If you do not know how the movie ends, then you did not see the movie.
You saw the movie if and only if you know how it ends.
"If a polygon is a quadrilateral, then it is a trapezoid."
What is the converse of this statement?
If a polygon is not a quadrilateral, then it is not a trapezoid.
If a polygon is not a trapezoid, then it is not a quadrilateral.
If a polygon is a trapezoid, then it is a quadrilateral.
A polygon is a quadrilateral if and only if it is a trapezoid.
"If a polygon is a quadrilateral, then it is a trapezoid."
What is the contrapositive of this statement?
If a polygon is a trapezoid, then it is a quadrilateral.
If a polygon is not a quadrilateral, then it is not a trapezoid.
If a polygon is not a trapezoid, then it is not a quadrilateral.
A polygon is a quadrilateral if and only if it is a trapezoid.
"If Max gets a good grade, then he won't be grounded"
Which of the following is the contrapositive?
If Max isn't grounded, then he got a good grades.
If Max doesn't get a good grade, then he will be grounded.
If Max gets grounded, then he didn't get a good grade.
Max gets a good grade if and only if he won't be grounded.
"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 our class gets a treat, then we earned ten trucks.
Our class earns ten trucks if and only if we get a treat.
What is the biconditional statement?
“If Shelly lives in Texas, then she lives in the United States.”
If Shelly lives in Texas, then she lives in the United States.
If Shelly lives in the United States, then she lives in Texas.
Shelly lives in Texas if and only if she lives in the United States.
If Shelly does not live in Texas, then she does not live in the United States.
What is the biconditional that matches the statement: "If an angle is a right angle, then it has 90 degrees."
If an angle has 90 degrees, then it is a right angle.
If an angle is a right angle, then it has 90 degrees.
An angle is a right angle if and only if it has 90 degrees.
Rewrite the following statement as a biconditional:
"If two angles are supplementary angles, then the angles add up to 180"
If two angles add up to 180o, then they are supplementary angles.
If two angles do not add up to 180o, then they are not supplementary angles.
Two angles are supplementary if and only if the angles add up to 180o.
If two angles sum does not equal 180o then they are not supplementary.
Which is a counterexample for the following conditional:
If an electronic device has a screen then it is a television.
oven
cell phone
computer mouse
keyboard
Which is a counterexample for the following conditional:
If an animal growls, then it is a bear.
Fish
Dog
Bird
Frog
Which is a counterexample to the following statement?
If an angle is acute, then it is .