Warm upFind the perimeter of the following:

A triangle with side lengths of (x + 2)

A rectangle with dimensions x and (4x – 3)

A square whose area is x²

2.2 CONDITIONAL STATEMENTS

Objective: To identify, write analyze the truth value of conditional statements. Write inverse converse and contrapositive of a conditional statement.

Is it true?

Ex. If it is 2:59pm, then the bell rings

It is 2:59pm

The bell rings

If a butterfly has a curved black line on its hind wing, then it is a viceroy.Hypothesis:

Conclusion:

A number is an integer if it is a natural number.Hypothesis:

Conclusion:

Every conditional statement is either true or false.(False - IF hypothesis is true and conclusion is false)

Determine if each conditional statement is true. If it is false, give a counterexample.

conditionalstatement

If p then q

If q then p

If not p then not q

If not q then not p

Converse (q → p):

Inverse (~p → ~q):

Contrapositive (~q → ~p):

Converse (q → p):

Inverse (~p → ~q):

Contrapositive (~q → ~p):

Related conditional statements that have the same truth value

Converse

If q then p

inverse

If not p then not q

Conditional Statement

If p then q

contrapositive

If not q then not p

HW: pg. 84 #’s 3 – 12, 23 – 29