Cornell Notes Template Geometry 1 Unit 2: Reasoning And Proof Page 8
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16If Ana completes all of her homework, then she will go to the movies
Ana completed all of her homework
What will Ana do now?
If Joe wins the football game, he will get a new movie
John did not win the football game
Will John get a new movie?
Law of Syllogism
If Derrick cleans his room, he will go to the mall
If Derrick goes to the mall, he will get new shoes
Derrick cleaned his room, does he get new shoes?
Deductive reasoning uses _________, _____________________,
Deductive
and __________________ ____________________ in logical
Reasoning
order to write a logical _____________________
When you have a true conditional statement and you know the
hypothesis is true, you can conclude the conclusion is true.
p → q
Given:
Law of Detachment
Given:
p
.
Conclusion:
_____
Example 4
If Jasmyn studies then she will ace her test.
Jasmyn studied.
.
Determine if the
argument is valid
Example 5
If Mike goes to work, then he will get home late.
Determine if the
Mike got home late.
.
argument is valid
Given two linked conditional statements you can form one
conditional statement.
p → q
Given:
Law of Syllogism
q → r
Given:
Conclusion: _____
If today is your birthday, then Joe will bake a cake.
Example 6
If Joe bakes a cake, then everyone will celebrate.
Determine if the
argument is valid
If it is a square, then it has four sides.
Example 7
If it has four sides, then it is a quadrilateral.
Determine if the
argument is valid
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