Presentation is loading. Please wait.

Presentation is loading. Please wait.

 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.

Similar presentations


Presentation on theme: " 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."— Presentation transcript:

1

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  The portion right after the If  Conclusion  The portion right after the Then

3  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

4  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

5  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.

6  Counterexample  Shows that a conditional statement is false where the hypothesis is true and the conclusion is false

7  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.

8  Counterexample  Shows that a conditional statement is false where the hypothesis is true and the conclusion is false  Biconditional  Combination of a conditional and its converse  p if and only if q

9  Write each biconditional as a conditional and its converse  Two 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.


Download ppt " 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."

Similar presentations


Ads by Google