Download The Fighting Squirrels

Geometry 1.4
Conditional Statements
Conditional Statements
• AKA if-then statements
• If a number is divisible by 2 then it is an even number
Conditional Statements
• The part following the if is the HYPOTHESIS
• The part following the then is the CONCLUSION
So…From the 1st example
• Hypothesis:
– A number is divisible by 2
• Conclusion:
– It is an even number
Identify the H and the C
• If it is raining outside, then the sidewalks are wet.
• If a player misses practice, then he cannot start in the
game.
Some are True and Some are False
• If I am in Koford’s class then I am enjoying school.
• If someone has short hair then they are a boy.
They are not always explicit
• In the homework they ask you to write two other forms of
• All dogs have fleas.
the statement, This is what they mean.
• I can go to the park after I clean my room.
• My mom gives me $10 for every A on my report card.
• You can vote if you are at least 18 years old.
• All people who are at least 18 years old can vote.
• If you are at least 18 years old, then you can vote.
• All whole numbers are integers
• Numbers are integers if they are whole numbers
• If numbers are whole numbers, then they are also
integers.
WRITING THE CONVERSE
It is easy…Really
• The converse of a conditional statement is made by exchanging
the hypothesis and the conclusion.
Look how easy
• If a figure is a triangle, then it has three angles.
If a figure has three angles then it is a Triangle.
Let’s try again
• Just swap the Hypothesis and the Conclusion…Ready?
• If you play a musical instrument, then you will do well in school.
• If you do well in school, then you will play a musical instrument.
• If it is raining outside, then the sidewalks are wet.
• If the sidewalks are wet, then it is raining outside.
1.4
3-30 (x3 x5)