Apr 01, 2015
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
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
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
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.
CounterexampleShows that a conditional statement is false
where the hypothesis is true and the conclusion is false
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.
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
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.