Converse
Inverse
Contrapositive
Mixed Bag
Biconditional statements
100

TRIPLE POINTS: What is the converse of this statement? 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 conditional statement from the following sentence: Parallelograms have 2 pairs of congruent sides

If it's a parallelogram, then it has two pairs of congruent sides.

100
What phrase does a biconditional contain?
the phrase "if and only if"
200

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

Switch the hypothesis and the conclusion

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

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

DOUBLE POINTS: 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

TRIPLE POINTS: 

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

DOUBLE POINTS: 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 not a cat. What is the converse of this statement??

If an animal is not a cat, 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

DOUBLE POINTS: If the field is not wet, then it didn't rain. What is the contrapositive of this statement?

If it rained, Then the field is wet.

400

DOUBLE POINTS Draw a venn diagram with the following informations: I have 23 balloons. 7 red, 10 yellow and 4 that are both yellow and red.

3 red, 6 yellow, 4 both, 10 neither

400

TRIPLE POINTS: Rewrite as a conditional statement: You live in Rhode Island if and only if you live in the smallest state in the USA.

What would be the converse?

If you live in the smallest state in the USA, then you live in Rhode Island

500

DOUBLE POINTS: If my allowance did not decrease, then I can save more money. What is the converse of this statement?

If i can save more money, then my allowance did not decrease

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

DOUBLE POINTS:

If we are in Biology, then we are not in school. What is the contrapositive?

If we are in school, then we are not in biology.

500

TRIPLE POINTS: Give a counterexample for the conjecture below.

The sum of two perfect squares is even.

counterexample, 22+ 3= 4 + 9 = 13

500

What is the symbol for biconditional?


double arrow <-->