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Ch3.6_ConditionalStatementsLogic.notebook
1
October 04, 2011
It has been reportedthat on any day, 8%of the American populationeats at McDonald's
Assume the population is 310 million
Assume there are12,800 restaurants
Is this Possible?
Chapter 3.6Conditional Statements
Ch3.6_ConditionalStatementsLogic.notebook
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October 04, 2011
If it is raining, then the ground is wet.
Conditional Statements("IfThen" Statements)
If [HYPOTHESIS], then [CONCLUSION]
Have 2 parts
If it is Wednesday, then there is no homeroom.
Are eitherTrue or False
TRUE FALSE
TRUE FALSE
If a statement is false, we need a counterexample
If a number is divisible by 2, then itis also divisible by 4.
If 2 lines do not intersect, then they are parallel
If line t intersects lines g and h, thenline t is a transversal
TRUE FALSE
TRUE FALSE
TRUE FALSE
Ch3.6_ConditionalStatementsLogic.notebook
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October 04, 2011
In GeneralIf p then q
If it is raining, then the ground is wet.
Converse
If q then pIf the ground is wet, then it is raining.
Biconditional Statements
If p then q
If q then pAND If and only if
("iff")
Both the statement and its converse are true
Ch3.6_ConditionalStatementsLogic.notebook
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October 04, 2011
Biconditional Statements
If an angle measure is 900,then it is a right angle
If an angle is a right angle,then its measure is 900
TRUE
TRUE
An angle is a right angle if and only if its measure is 900
Write the converse of this statement:
If two angles are vertical angles,then they have the same measure
TRUE or FALSE
CONVERSE:
Ch3.6_ConditionalStatementsLogic.notebook
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October 04, 2011
Each of the following statements is false.Think of a counterexample for each statement.
If PQ = QR, then the point Q is the midpoint of PR
If points A, B, and C are collinear, thenBA and BC are opposite rays
If two angles share a common side and vertex, then they are adjacent angles.
