Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an...

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Section 2.2

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Transcript of Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an...

Page 1: Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an animal is a bird, then it has feathers. HypothesisConclusion.

Section 2.2

Page 2: Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an animal is a bird, then it has feathers. HypothesisConclusion.

Conditional statements are logical statements with a hypothesis and conclusion.

If an animal is a bird, then it has feathers.Hypothe

sisConclusion

Page 3: 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, n2=81.

If n=9, then n2=81. All whales are mammals.

If an animal is a whale, then it is a mammal.

Page 4: Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an animal is a bird, then it has feathers. HypothesisConclusion.

Page 82 2-6, 11-15

Finish for homework

Page 5: Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an animal is a bird, then it has feathers. HypothesisConclusion.

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.

Hypothesis

Conclusion

Page 6: Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an animal is a bird, then it has feathers. 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

Page 7: Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an animal is a bird, then it has feathers. HypothesisConclusion.

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.

Page 8: Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an animal is a bird, then it has feathers. HypothesisConclusion.

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

Page 9: Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an animal is a bird, then it has feathers. HypothesisConclusion.

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

Page 10: Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an animal is a bird, then it has feathers. HypothesisConclusion.

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

Page 11: Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an animal is a bird, then it has feathers. HypothesisConclusion.

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

Page 12: Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an animal is a bird, then it has feathers. HypothesisConclusion.

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.

Page 13: Section 2.2. Conditional statements are logical statements with a hypothesis and conclusion. If an animal is a bird, then it has feathers. HypothesisConclusion.

Complete these problems in your notebook. Page 82 7-10, 16-23, 26-28


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