Find the next two terms in the sequence 81, 27, 9, 3,.....
What are 1 and 1/3?
100
Rewrite the statement as a conditional statement.
All motorcyclists wear helmets.
What is "If a person is a motorcyclist, then that person wears a helmet."
100
A statement that can be written in the form "if p, then q.
What is conditional statement.
100
Once a conjecture is proved, it is called _______.
What is theorem.
100
Two rays that have a common endpoint and form a straight line.
What is opposite rays.
200
What is the next two term of the sequence 34, 27, 20, 13, ...
What is 6 and 1?
200
Write the Converse of the conditional and determine if it is true or false. If false give a counterexample:
"If you play the tuba, then you play an instrument"
What is "If you play an instrument, then you play the tuba. (FALSE, you could play any other instrument (drum))
200
The process of using logic to draw conclusions.
What is deductive reasoning.
200
If a = b, then a - c = b - c.
What is subtraction property of equality.
200
m
What is 140.
300
Find the pattern of the sequence 1, 4, 9, 16, 25, ...
What is each term is the square of the number of the term in the sequence.
300
Is the conditional statement true or false? If it is false, find a counterexample.
"If a woman is born in Florida, then she is American.
What is true.
300
An argument that uses logic to show that a conclusion is true.
What is a proof.
300
a = a
What is reflexive property of equality.
300
How are algebraic properties useful in geometry.
What is used to justify each step in a geometric problem.
400
A _________ is a conclusion you reach using inductive reasoning.
What is a conjecture?
400
Write the Inverse of the conditional and determine if it is true or false. If false give a counterexample: "If you play the tuba, then you play an instument."
What is "If you do not play the tuba, then you do not play an instrument (FALSE, you could play the drums (any instrument) and play an instrument)"
400
point, line, and plane
What is undefined terms.
400
If a = b and b = c, then a = c.
What is transitive property of equality.
400
Provide the reason for step 3 in the following proof:
1) <1 and <2 are vertical angles 1) Given
2) <1 and <3 are a linear pair 2) Def of linear pair
3) <1 and <3 are supplementary 3) ???
What is Linear Pair Theorem.
500
Find a counterexample to show the following statement is false:
If the name of a month starts with the letter J, it is a summer month.
What is January.
500
The inverse of the following conditional statement "if you are a quarterback, then you play football.
What is "If you are not a quarterback, then you do not play football.
500
The point that divides a segment into two congruent segments.
What is midpoint.
500
Identify the reason for step 2:
1. AC = BD
2. AC = AB + BC and BD = BC + CD
3. AB + BC = BC + CD
4. AB = CD
What is Segment Addition Postulate.
500
1) <1 and < 2 are vertical angles
2) <1 and <2 are supplementary
3) <2 and <3 are supplementary
4) m<1 + m<2 = 180 and m<2 + m<3 = 180
5) m<1 + m<2 = m<2 + m<3 ????Reason Statement??