Mixed Bag
Algebra Proofs
Segment Proofs
Angle Proofs
Conditional Statements
Definitions
100
What are complementary angles?
Angles that add to 90
100
The first reason on any algebra proof is this ____.
Given
100
Point a is in between point C and point B. Point C and point B are collinear. Therefore CA + AB = AC. This is an example of which postulate?
What is segment addition postulate
100
The following is an example of the ______ property.
m<1 = 150 degrees.
m<1 + m<2 = 180 degrees
150 + m<2 = 180 degrees
What is substitution?
100
Write the statement as a conditional statement (IF/THEN)
All students love geometry
If you are a student, then you love geometry
100
Proving statements by reasoning from accepted postulates, definition, theorems, and given information
Deductive reasoning
200
What does equilateral mean?
Same side lengths
200
Give an example of the subtraction property.
x + 8 = 58
x = 50
200
Give an example of the segment addition postulate, with a drawing. (Use the points A, B, and C).
AB + BC = AC
200
Explain how the angle bisector theorem is different then the angle addition postulate.
With the angle bisector theorem the angle is split into two equal pieces.
200
What is the hypothesis of the statement...
If the students study, then they will get a good grade on the next test.
If the students study.
200
Used when you find a pattern in a specific case, and then write a conjecture for a general case
Inductive reasoning
300
Name a set of vertical angles in this figure
1,3
2,4
300
This would be an example of the which property?
If /_A+/_B=180° and /_B+/_C=180°
then
/_A=/_C
Transitive
300
True/False. Definition of congruence is only used with segment proofs.
False.
300
Give an example of a property that is used just with angles.
Angle Addition Postulate
Angle Bisector
Supplementary Angles
Complementary Angles
300
What is the conclusion in the statement...
If you live in Saint Joseph, then you live in Missouri
You live in Missouri
300
A specific case to prove a conjecture is false.
Counter example
400
Provide a counterexample
All triangles are regular
Drawing
400
What is the last reason for the following algebra proof?
What is the division property of equality?
400
This reason justifies statement 2 in the following proof.
What is the definition of midpoint?
400
Which theorem tells us that
If
/_1 and /_2 are supplements
and /_2 and /_3
are supplements.
Then
/_1 cong/_3
Congruent supplements theorem
400
What is the contrapositive of the following statement
If the number is prime, then it is odd
If the number is not odd (even), then the number is not prime.
400
The opposite of an original statement (add not)
Negation
500
How do you know when to put a definition for a vocab word as a reason?
When there is a vocab word in the statement
500
What is a logical 2nd statement (assuming the first is a given):
x + y = w + v
500
What would be the last reason in the following proof?
Definition of segment congruence
500
Give statement #6
What is m<1 + m<5 = 180?
500
The statement that you use to connect a conditional with its converse to make a biconditional.
If and only if
500
Write the converse of a conditional statement and negate both the hypothesis and conclusion.
Contrapositive