Converse
Inverse
Contrapositive
Mixed Bag
Biconditional statements
100
What is the converse of this statement? Original: If the beach ball pops, Then it is flat.
If it is flat, Then the beach ball popped.
100
If Gummy Bears are Gummy, Then they must be made by Haribo.What is the inverse of this statement?
If Gummy Bears are NOT Gummy, Then they are NOT made by Haribo.
100
If the sun is shining, then we are not watching tv. What is the contrapositive?
If we are watching tv, Then the sun is NOT shining.
100
Make a conjecture for the scenario: the product of two odd numbers
the product of two odd numbers will be odd
100
What phrase does a biconditional contain?
the phrase "if and only if"
200

What do you do to the statement when you are using the Converse method?

Switch the p and q.

200
What is the Inverse of... If you have your license, then you can drive?
If you don't have your license, then you cannot drive.
200
What is the of contrapositive of the following statement.. If you study, then you will pass?
If you do not pass, then you did not study.
200
Name the hypothesis and conclusion of: If you get an A, then you pass the course.
hypothesis: you get an A conclusion: you pass the course
200
Think of the statement and its converse. If both are true, Rewrite as a biconditional. If two lines in a plane never intersect, then they are parallel.
Two lines in a plane never intersect if and only if they are parallel.
300
What is the converse of... If you are in geometry, then you are in math?
If you are in math, then you are in geometry.
300
What do you do to the statement when you use the inverse method?
Negate the hypothesis and the conclusion. (place "not" into both the hypothesis and conclusion)
300
What do you do when use the contrapositive method?
Switch and Negate (insert "not")
300
Rewrite as a conditional: I will get my allowance if I do my chores.
If I do my chores, then I will get my allowance.
300
What is the conditional statement of the following? Two angles are complementary if and only if they add to 90 degrees.
If two angles are complementary, then they add to 90 degrees.
400
If an animal is a chihuahua, then it is a dog. What is the converse of this statement??
If an animal is a dog, then it is a chihuahua.
400
If the sun is NOT shining, Then we are inside watching tv. What is the Inverse of this statement?
If the sun is shining, Then we are not inside watching tv.
400
If the field is wet, Then it rained. What is the contrapositive of this statement?
If it did NOT rain, Then the field is NOT wet.
400
is the statement below a good definition? If not explain. If it is, write as a biconditional. A cat is an animal with whiskers.
no, not reversible, ex. mouse has whiskers
400
Write the two statements of this biconditional: You live in Rhode Island if and only if you live in the smallest state in the USA.
If you live in the smallest state in the USA, then you live in RI.
500
If my allowance increases, Then I can save more money. What is the converse of this statement?
If i can save more money, Then my allowance increased/increases.
500
If the answer is correct, Then i am the best. What is the inverse of this statement?
If the answer is NOT correct, Then i am NOT the best.
500
If we are in Biology, Then we are in school. What is the contrapositive?
If we are not in school, then we are not in biology.
500
Give a counterexample for the conjecture below. The sum of two perfect squares is even.
counterexample, 2 squared + 3 squared = 4 + 9 = 13
500
What are the two conditional statements of this biconditional statement? An angle is a straight angle IF AND ONLY IF its measure is 180 degrees.
If an angle is a straight angle, then its measure is 180 degrees. If its measure is 180 degrees, then an angle is a straight angle.
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