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Spectacular Statements
Lots of Logic
Algebra Arguments
Radical Reasons
Proof Party
100
Write a conditional statement for the following: Drinking soda makes you burp
If you drink soda, then you will burp
100
Inductive or deductive? I had pizza and soda for lunch for the last week, so I will probably have pizza and soda for lunch again.
Inductive
100
Justify the following step of an algebra problem: 2(3x+1) 6x + 2
Distributive property
100
State the postulate used: AC = AB + AC
Segment addition postulate
100
What is the first line of the proof? (statement and reason)
Angle 3 = Angle 8....Given
200
What is the converse of the following statement: If you play soccer, then you are an athlete
If you are an athlete, then you play soccer
200
What can you conclude from the information: If you keep your door open, then bugs will get in your room. There are no bugs in my room.
The door is not open
200
Justify the following step of an algebra problem: -2x + 5 + 4x = 10 2x + 5 = 10
Combine like terms
200
State the postulate: Angle FAB = Angle FAE + Angle EAB
Angle addition postulate
200
How are Angle 3 and Angle 2 related?
They are a linear pair, supplementary, add to 180
300
What is the inverse of the following statement: If you dig deep enough, then you will end up in China
If you don't dig deep enough, then you won't end up in China
300
Make a conclusion If you use your phone at school, then it will get taken away. If your phone gets taken away, then you will complain and wish you had it
If you use your phone at school, then you will complain and with you had it.
300
If you add a number to both sides of an equation, what property are you using?
Addition property of equality
300
Using the Plane - Point Postulate, how many points does it take to create a plane?
3
300
Angle 8 + Angle 5 = ______ Fill in the blank and provide a reason
180... definition of a linear pair / supplementary angles
400
What are the two parts of a conditional statement? (What do the p and q stand for)
p: hypothesis q: conclusion
400
State the law of logic: If Triangle A has the same area as Triangle B, and Triangle B has the same area as Square C, then Triangle A has the same area as Square C.
Syllogism (transitive)
400
Angle 1 and Angle 2 are vertical angles. Angle 1 has a measure of 2x + 1 and Angle 2 has a measure of 3x. Solve for x.
x = 1
400
What can we conclude from this information? C is the midpoint of AG
AC = CG
400
If Angle 3 + Angle 2 = 180, and Angle 8 + Angle 5 = 180, then what is the next step? What is your reason?
Angle 3 + Angle 2 = Angle 8 + Angle 5 (transitive/substitution)
500
Rewrite the following as a single biconditional statement: If I am breathing, then I am alive. If I am alive, then I am breathing.
I am breathing if and only if I am alive
500
True or False: if false, find a counterexample: If you are on the baseball team, then you are a pitcher
False ; any other position
500
Angle 1 is vertical to Angle 2. Angle 3 is vertical to Angle 4. Solve for x and y Angle 1: 3x - 5 Angle 2: 6 - y Angle 3: 2 + 4x Angle 4: 2y
x = 2, y = 5
500
AE bisects Angle FAB. What do we now know about the smaller angles? What would your reason be on a proof? (NEED BOTH ANSWERS)
Angle FAE = Angle EAB Definition of a bisector
500
Complete a proof for the following: Angle A and Angle B are complementary. Angle 1 + Angle B = 90. Prove Angle 1 = Angle A
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