The converse of "If I win, then you lose."
What is "If you lose, then I win."
What does this symbol → mean?
It means "If ..., then ..."
What law, if any, is being used here?
All squares are rectangles.
ABCD is a square.
Therefore, ABCD is a rectangle
Law of Detachment
The Contrapositive of, "If it is a six-sided figure, then it is a hexagon."
What is: If it is not a hexagon, then it is not a six-sided figure.
What does this symbol ^ mean?
It means "and".
What law, if any, is this?
If the geometry students score 100% on the test, the teacher will dye her hair.
The geometry students scored 100% on the test.
So the teacher dyed her hair.
Law of Detachment
What is the inverse of :
"If they make me run the race, then I will try to break my ankle before it starts."
If they don't make me run the race, I will not try to break my ankle before it starts.
Let p represent "the sun is shining" and let q represent "it is a nice day".
Write the following statement in symbols.
"It is a nice day or the sun is shining"
q "or symbol" p
What law, if any, is being used here?
If you wear school colors, then you have school spirit.
If you have school spirit, then you feel great.
If you wear school colors, then you feel great.
Law of Syllogism
Write this as a biconditional phrase:
if the grass is green, then it rained.
The grass is green if and only if it rained.
What is the symbol we use for biconditional
↔
Tall boys are always brilliant.
Chris is always brilliant.
Therefore: _______________
Therefore nothing! There's no logical conclusion.
Find the biconditional phrase by looking at the conditional.
If it is a circle, then it doesn't have angles.
Give an example using the symbol therefore in a complete symbolic language
What law is this?
None of them, it's invalid.