Converse / Inverse
Pattern Recognition
Contrapositive
Laws of Detachment/ Syllogism
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

Finish the pattern

3, 6, 9, 12, ___, ___

15, 18

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

What is the law of detachment?

If we are given that a condition is met in a conditional statement, then we know the conclusion is true. 

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

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.

200

Finish the pattern

80, 40, 20, 10, ___, ___

5, 2.5

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

What is the law of syllogism?

If A implies B, and B implies C, then A implies C.

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 inverse of... If you are in geometry, then you are in math?

 If you are not in geometry, then you are not in math

300

Finish the pattern

1, 2, 4, 7, 11, ___, ____

16, 22

300
What do you do when use the contrapositive method?
Switch and Negate (insert "not")
300

Law of detachment: 

Draw a conclusions. 

If two lines intersect to form a right angle, then the lines are perpendicular. Lines m and n intersect to form a 90 degree angle. 

Lines m and n are perpendicular. 

300

Write this definition as a biconditional statement: Complimentary angles are those that add to 90 degrees. 

Two angles are complimentary if and only if they add up 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

Finish the pattern

1, 4, 9, 16, 25, ___, ____

36, 49 

(perfect squares)

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

Law of syllogism: Write a new statement. 

Statement 1: If a triangle is equilateral, then it is equiangular.

Statement 2: If a triangle is equiangular, then each interior angle measures 60 degrees. 

If a triangle is equilateral, then each interior angle measures 60 degrees. 

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.

If you live in RI, then you live in the smallest state in the USA. 

500

If my allowance increases, Then I can save more money. What is the converse and inverse of this statement?

Converse: If i can save more money, Then my allowance increased/increases.

Inverse: If my allowance does not increase, Then I can not save more money.

500

Finish the pattern

2, 3, 5, 7, 11, 13, ___

17

(prime numbers)

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

Is the following logical reasoning valid? If so, through which law is it?

If a shape is a square, then it is a rhombus. If a shape is a rhombus, then its diagonals are perpendicular. Therefore, if a shape is a square, its diagonals are perpendicular.

Yes, through the law of syllogism. 

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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