Statements
Symbols
Valid
100
The converse of "If I win, then you lose."
What is "If you lose, then I win."
100
What does this symbol → mean?
It means "If ..., then ..."
100
What law, if any, is being used here?
All squares are rectangles.
ABCD is a square.
Therefore, ABCD is a rectangle
Law of Detachment
200
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.
200
What does this symbol ^ mean?
It means "and".
200
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
300
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.
300
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
300
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
400
Write this as a biconditional phrase:
if the grass is green, then it rained.
The grass is green if and only if it rained.
400
What is the symbol we use for biconditional
↔
400
Tall boys are always brilliant.
Chris is always brilliant.
Therefore: _______________
Therefore nothing! There's no logical conclusion.
500
Find the biconditional phrase by looking at the conditional.
If it is a circle, then it doesn't have angles.
It is a circle if and only if it doesn't have any angles.
500
Give an example using the symbol therefore in a complete symbolic language
Three dots
500
What law is this?
None of them, it's invalid.