(Bi)Conditional Statements
Name the hypothesis:
If you are an American citizen, then you have the right to vote.
Write the converse of the following conditional statement:
If a number is odd, then it is not divisible by 2.
If a number is not divisible by 2, then it is odd.
Name the two laws of deductive reasoning
Detachment and Syllogism
Name the property:
If 6x = 72, then x = 12
Division Property of Equality
Write the following as a conditional statement: A polygon with eight sides is an octagon.
If a polygon has eight sides, then it is an octagon.
Write the inverse of the following conditional statement:
If I live in Brazil, then I live in South America.
If I do not live in Brazil, then I do not live in South America.
Draw a conclusion: If your father buys new gardening gloves, then he will work in his garden. If he works in his garden, then he will plant tomatoes.
If your father buys new gardening gloves, then he will plant tomatoes.
Name the property.
If AB = DE, then AB + CD = CD + DE
Addition Property of Equality
Write the following as a biconditional statement:
Points in Quadrant III have two negative coordinates.
Points are in Quad 3 iff they have two negative coordinates.
Name the contrapositive:
If x = 2, then x^2 = 4.
If x^2 does not equal 4, then x does not equal 2.
Make a conclusion and name the law.
If you practice drawing, then your art skills will improve.
Molly draws a lot in her spare time.
Molly's art skills will improve.
Detachment.
Name the property:
If AB = CD and CD = 15, then B = 15
Transitive Property of Equality
Is the following a good definition? Justify your answer.
Elephants are gigantic animals
Converse is not true.
CE: Blue Whales
Is the inverse true? Explain.
If I live in Canada, then I live in North America.
If I do not live in Canada, then I do not live in North America.
Not true, USA, Mexico
Come up with your own example for the law of detachment.
I can't wait to hear your examples!
Name the property:
<2 = <2
Reflexive Property of Equality