Terminology
With Good Reason
On One Condition
Prove It
Grab Bag
100
This is an example of the term:
What is angle bisector?
100
This would be a counterexample to:
If |x| = 12, then x=12
what is x=-12
100
This statement is an example of the converse:
"If x=5, then x+3 = 8"
What is:
If x+3 = 8, then x=5
100
This property is the first step in any proof.
What is "given"
100
This is a name for the plane:
What is:
Plane P
-or-
Plane AEB
200
This is an example of the term:
What are vertical angles?
200
This is an example of it:
I pull two coins from a bag--they a both quarters. I pull another coin from the bag--it is also a quarter. I conclude that this bag only contains quarters.
What is inductive reasoning?
200
These statements from from the biconditional:
If it is a frog, then it is a tailless amphibian that leaps.
If it is a tailless amphibian that leaps, then it is a frog.
What is;
It is a frog if and only if it is a tailless amphibian that leaps.
200
This property would be used to prove x=13 in;
3(x - 8) = 15
What is:
Distribution Property
-or-
Addition Property
-or-
Division Property
200
When two planes intersect, they form this.
What is a line?
300
These two nonadjacent angles sum to 180 degrees.
What are supplementary angles?
300
This use of inductive reasoning allows us to make the conclusion: If you take the product of two negative integers, ____"
What is;
Then the result is positive?
300
Known as the statement that swaps the conditional,
If Q, then P
What is a converse?
300
Given: ∠MNO and ∠XYZ are complementary, this would be the conclusion
m∠MNO + m∠XYZ = 90
300
A circle with a diagonal of 14 inches will have this area to the nearest tenth.
What is 153.9 in.2?
400
An example of the term would be:
If a=b, then b=a.
What is the symmetric property?
400
This process uses multiple statements "chained" together to form a conclusion
What is deductive reasoning?
400
This contrapositive of the statement:
"If x>2, then 5 - x < 3"
What is;
If 5-x > 3, then x < 2
400
Given the expression;
8 - 3(x - 4)
This would be the conclusion AND reason.
8 - 3x + 12
Distribution Property
400
This is the common endpoint of two rays that form an angle.
What is a vertex?
500
An example would be:
A shape is a triangle if and only if it is a shape with three edges.
What is a biconditional statement?
500
This common mistake in logic produces this result:
"Monkeys eat bananas. Tim eats bananas. Therefore, Tim is a monkey."
What is Faulty Generalization?
-or-
Inductive reasoning as deductive logic
-or-
Using the conclusion twice
500
This is an example;
If a figure is a square, then it is a quadrilateral.
Figure PQRS is a square. Therefore, it is a quadrilateral.
What is Law of Detachment?
500
This would be step 4 of the proof:
What is:
m∠1 + m∠2 = m∠3 + m∠2 || Addition Property
-or-
m∠CBD= m∠1 + m∠2 || Angle Addition Post.
500
This value solves for m∠PRS.
What is;
m∠PRS = 140