Patterns and Inductive Reasoning
Conditional Statements
Definitions
Algebraic Proof
Geometry Proof
100
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

If a=b and b=c, then a=c.

What is the transitive property.

100

If ray XP bisects <QXZ, how would you justify the statement: m<QXP = m<PXZ 

What is definition of angle bisector.

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 observed patterns to make a conjecture.

What is inductive reasoning.

200
If a = b, then a - c = b - c.
What is subtraction property of equality.
200

If segment AB is congruent to segment CD, how would you justifyt he statement: AB=CD?

What is Def. of congruent

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

When you make a replacement you are doing?

What is substitution.

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

A "good definition" is always ______________. 

reversible

400

If a = b then b = a.

What is symmetric property of equality.

400

Define Linear Pair.

A pair of angles that are adjacent and supplementary.
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

If B is between A and C on segment AC, how would you justify the statement: AC = AB + BC?

What is Segment Addition Postulate.

500

Which property did I warn you would show up in almost every proof we do?

What is Transitive Property of Equality.

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