Hypothesis the part of the statement that follows the word if
Conclusion the part of the statement that follows the word then
Identify Hypothesis Conclusion
If today is the first day of fall then the month is September
today is the first day of fall the month is September 4 Write a Conditional Statement
A rectangle has four right angles
If a figure is a rectangle then it has four right angles
5 Truth Value
A conditional can have a truth value. A truth value identifies if the conditional statement is true or false.
What is the truth value
If it is February then there are only 28 days in the month
Truth value is False during Leap year there are 29 days in the month of February
6 Venn Diagrams
Venn Diagrams can be used to show a conditional.
The set of things that satisfy the hypothesis lies inside the set of things that satisfy the conclusion.
7 Converse of a conditional
The converse of a conditional switches the original hypothesis and conclusion.
Conditional If an animal is a dog then it is a Cocker Spaniel. Converse If an animal is a Cocker Spaniel then it is a dog. 8 Write the Converse
If two lines are not parallel and do not intersect then they are skew.
If two lines are skew then they are not parallel and do not intersect. 9 Finding the truth value of a converse
Conditional StatementIf a² 25 then a 5
What is the converse of this statement If a 5 then a² 25 True What is the truth value of the converse 10 Check Understanding
Write the statement all dogs are mammals as a conditional statement. Then write its converse. What is the truth value of each statement
If an animal is a dog then it is a mammal. TRUE If an animal is a mammal then it is a dog. FALSE 11 Symbolism
p q if p then q
if q then p
2-34even 40 - 48even 54-58even 59-61
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