Section 2.2.  Conditional statements are logical statements with a hypothesis and conclusion.  If an animal is a bird, then it has feathers. HypothesisConclusion.

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Presentation transcript:

Section 2.2

 Conditional statements are logical statements with a hypothesis and conclusion.  If an animal is a bird, then it has feathers. HypothesisConclusion

 All 90 angles are rights angles  If the measure of an angle is 90, then it is a right angle.  2x+1=7 because x= -3.  If x= -3, then 2x+7=1.  When n=9, n 2 =81.  If n=9, then n 2 =81.  All whales are mammals.  If an animal is a whale, then it is a mammal.

 Page ,  Finish for homework

 A converse is where we flip the hypothesis and conclusion  If an animal is a whale, then it is a mammal  Converse: If it is a mammal, then it is a whale. HypothesisConclusion

 If you are a soccer player, then you are an athlete.  If you are an athlete, then you are a soccer player  If a dog is a Great Dane, then it is large.  If a dog is large, then it is a Great Dane

 To make an inverse, we take the negative of the statement.  If an animal is a whale, then it is a mammal.  Inverse: If an animal is NOT a whale, then it is NOT a mammal.

 If a dog is a Great Dane, then it is large.  If a dog is not a Great Dane, then it is not large.  If a polygon is equilateral, then the polygon is regular.  If a polygon is not equilateral, then it is not regular

 Here we are going to flip the statement and then negate it.  If an animal is a whale, then it is a mammal.  If an animal is a mammal, then it is a whale.  If an animal is not a mammal, then it is not a whale Flip Now Negate

 If you like hockey, then you go to the hockey game.  If you do not go to the hockey game, then you do not like hockey  If x is odd, then 3x is odd.  If 3x is not odd, then x is not odd

 Intersect to form four right angles  Determine if the following statements are true  Point M is the midpoint of FH  Line FH and line JG are perpendicular F M G H J

 Statements that contain the phrase if and only if.  For example, If two lines intersect to form a right angle, they are perpendicular.  Two lines are perpendicular if and only if they intersect to form a right angle.

 Complete these problems in your notebook. Page , 16-23, 26-28