p: If an angle is acute, then it cannot be obtuse.
q: Angle A is acute.
Conclusion: Angle A cannot be obtuse.
VALID OR INVALID?
Valid
100
Right
An angle is right IFF its measure is exactly 90 degrees.
100
P: I would go to the store.
q: I will not run out of food.
p to q
If I would go to the store, then I will not run out of food.
100
Find the inverse of:
The fox's fur is beautiful.
The fox's fur is not beautiful.
100
1, 4, 7, 10, ...
Form a conjecture for the next term.
13... because adding 3 is the pattern.
200
If I go to the grocery store, then I will spend money.
If I spend money, I will not be able to buy video games.
Conclusion: If I go to the grocery store, then I will not be able to buy video games.
WHAT LAW?
Law of Syllogism
200
Acute
An angle is acute IFF its measure is less than 90 degrees.
200
p: The president will be elected.
q: The people will vote.
~q to ~p
If the people will not vote, then the president will not be elected.
200
WHAT DOES THE FOX SAY?!
HAHAHAHA NO POINTS FOR YOU!
200
True or false?
F ^ (T or F)
FALSE
300
What does the fox say?!
Ha tee ha tee ha tee ho!
You lose! No points for you!
300
Obtuse
An angle is obtuse IFF its measures are greater than 90 degrees.
300
p: x=2
q: x+3=5
~p to ~ q
If x does not equal 2, then x plus 3 does not equal 5.
300
Find the converse of the following"
If you dry the dishes, then I will wash the dishes.
If I wash the dishes, then you will dry them.
300
If p is true and q is true, is the following true or false?
(~p ^ p) or q
True
400
Which law can be used to determine that the conclusion is valid based on the given statements?
Given: If a figure has 4 right angles, then the figure is a rectangle. A rectangle has 2 pairs of parallel sides.
Conclusion: If a figure has 4 right angles, then the figure has 2 pair of parallel sides.
Law of Detachment and the conclusion is VALID.
400
Collinear
Points are Collinear IFF they lie on the same line.
400
What does the fox say?!
ring ding ding ding da ding da ding da da da ding!
NO POINTS FOR YOU! hahahahah
HOWL!!!
400
Find the Contrapositive of:
If the elephant goes toot, then the dog goes bark.
If the dog does not go bark, then the elephant does not go toot.
400
1, 4, 9, 16, 25, 36... What is the next term?
49, because you square the nth term.
500
If I drive my car, I will use gas.
If I use gas, I will spend money.
If I spend money, I will have less money.
What law should be used to form the conclusion and what is the conclusion?
Law of Syllogism
If I drive my car, I will have less money.
500
Coplanar
Parts are coplanar IFF they lie on the same plane.
500
p: Fish go blub.
q: Ducks go quack.
q to p
If the ducks go quack, then the fish go blub.
500
Find the Contrapositive.
If it is Monday, then it is raining.