Conditional Statements

Converse

100

What is the converse of this statement? Original: If an animal is a bird, then it is an eagle 

If it is an eagle, then the animal is a bird.

200

What is the truth value of this statement: If an angle has measure greater than an acute angle, then it is right 

False

300

What is the definition of Converse?

Formed by switching the hypothesis and the conclusion of Converse?

400

If the sun is shining, Then we are not watching tv. What is the converse of this statement??

If we are not watching tv, Then the sun is shining.

500

What is the truth value and provide a counterexample if applicable for the statement below: 

If a number is a rational number, then it is an integer. 

False, 1/2 is a rational number but not an integer. 

Inverse

100

What does the word if indicate in the statement

indicates a hypothesis 

200

What is the logically form for the inverse? 

~p -- ~q 

300

How do you write the inverse of a conditional statement

Negate the hypothesis and the conclusion.

400

If the sun is NOT shining, Then we are NOT inside watching tv. What is the Inverse of this statement?

If the sun is shining, Then we are inside watching tv.

500

If a number is divisible by 4, then it is divisible by 2 . What is the inverse of this statement?

If a number is not divisible by 4, then it is not divisible by 2 

Contrapositive

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.

200

What is the definition of contrapositive?

Formed by negating the hypothesis and conclusion and switching the hypothesis and the conclusion.

300

What do you do when use the contrapositive method?

Switch and Negate

400

What is the truth value of this statement: If a number is not an integer, then it is not a whole number. 

True 

500

What are the related conditionals ?

The converse, the inverse, the contrapositive, the negation. 

Inductive reasoning

100

What is the next term in this pattern: 

2,22,222,2222

22,222

200

What is the truth value of the following conditional statement? 

If x²=16, then x=5

False, x=-4

300

Make a conjecture about this relationship: 

The product of two even numbers 

The product of 2 even numbers is an even number. 

400

Indicate whether the following argument is inductive or deductive reasoning.All swans we have seen have been white; therefore the next swan we see will be white. _______

inductive reasoning

500

What is the hypothesis and conclusion in the following conditional statement? “If it is Tuesday, then movie tickets are half-price.”

Hypothesis-If it is Tuesday 

Conclusion- then movie tickets are half-price 

Biconditioal statements

100

What is the definition of Biconditional statement?

A statement that connects a conditional and converse using the words "If and only if"

200

When is a Biconditional statement true?

When both the conditional and converse are both true 

300

What is the difference between a Biconditional statement and a Conditional statement?

A Biconditoional statement has the phrase "if and only if" and a Conditional statement is a logical statement that has two parts(hypothesis and a conclusion).

400

Write the statement as a Biconditional statement and determine the truth value: 

There is no school on Saturday 

There is no school if and only if it is Saturday, False

500

Write the following statement as a biconditional statement. “A prime number has only 1 and itself as factors.” 

A number is prime if and only if it has only 1 and itself as factors.