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Page 1: Conditional Statement A statement that can be written in If-Then form If-Then Statement Statement written in the form If p, then q. Hypothesis

Page 2: Conditional Statement A statement that can be written in If-Then form If-Then Statement Statement written in the form If p, then q. Hypothesis

Conditional StatementA statement that can be written in If-Then

form If-Then Statement

Statement written in the form If p, then q. Hypothesis

The portion right after the If Conclusion

The portion right after the Then

Page 3: Conditional Statement A statement that can be written in If-Then form If-Then Statement Statement written in the form If p, then q. Hypothesis

Identify the hypothesis and conclusion in each statement If 2x+6=10, then x=2 If you are a teenager, then you are at lease

13 years old.“If a man hasn’t discovered something that

he will die for, he isn’t fit to live” Martin Luther King, Jr.

“If somebody throws a brick at me, I can catch it and throw it back.” Harry S Truman

Page 4: Conditional Statement A statement that can be written in If-Then form If-Then Statement Statement written in the form If p, then q. Hypothesis

Write each statement in if-then form. Get a free visit with a one-year fitness plan. Math teachers love to solve problems. Adjacent angles have a common side. Vertical angles are congruent. “We’re half the people; we should be half the

congress” Jeanette Rankin, former US Congresswoman, calling

for more women in office “A great work is made out of a combination of

obedience and liberty.” Nadia Boulanger, orchestra conductor and musical

mentor “A problem well stated is a problem half solved”

Charles F Kettering, inventor

Page 5: Conditional Statement A statement that can be written in If-Then form If-Then Statement Statement written in the form If p, then q. Hypothesis

Converse Exchanging the

hypothesis and conclusion of the conditional

Inverse Negating both the

hypothesis and conclusion of the conditional

Contrapositive Negating both the

hypotheses and conclusion of the converse statement

If two angles have the same measure, then they are congruent.

If two angles are congruent, then they have the same measure.

If two angles do not have the same measure, then they are not congruent.

If two angles are not congruent, then they do not have the same measure.

Page 6: Conditional Statement A statement that can be written in If-Then form If-Then Statement Statement written in the form If p, then q. Hypothesis

CounterexampleShows that a conditional statement is false

where the hypothesis is true and the conclusion is false

Page 7: Conditional Statement A statement that can be written in If-Then form If-Then Statement Statement written in the form If p, then q. Hypothesis

Show the conditional is false by finding a counterexample If it is February, then there are only 28 days

in a month. If the name of a state contains the word

New, then the state boarders an ocean. If it is not a weekday, then it is Saturday.Odd integers less than 10 are prime. If you play a sport where you hit a ball, then

you play baseball.

Page 8: Conditional Statement A statement that can be written in If-Then form If-Then Statement Statement written in the form If p, then q. Hypothesis

CounterexampleShows that a conditional statement is false

where the hypothesis is true and the conclusion is false

BiconditionalCombination of a conditional and its

conversep if and only if q

Page 9: Conditional Statement A statement that can be written in If-Then form If-Then Statement Statement written in the form If p, then q. Hypothesis

Write each biconditional as a conditional and its converseTwo angle measures are complements if

and only if their sum is 90.Two angles are congruent if and only if they

have the same measure.A line is a segment bisector iff it intersects

the segment at its midpoint.

JavaScript V Conditional Execution. Outline Conditional statement If-then If-then-else Nested If Boolean expressions

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