Properties of Equality
Geometric
Algebraic
RANDOM QUESTIONS
Definitions
100
When you add or subtract the same number from both sides of an equation, what property are you using?
Addition (or subtraction) Property of Equality
100
Segment AB is congruent to Segment BA. This is an example of...
Symmetric Property of Equality.
100
Give an example of the subtraction property.
EX:
x + 8 = 58
x = 50
100
The first reason on any algebra proof is this ____.
given
100
The point that divides a segment into two congruent segments.
Midpoint
200
if a=b then b=a
symmetric property
200
<1 and ∠2 are complementary
def of complementary angles
200
This would be an example of the which property?
If ∠A+∠B=180° and ∠B+∠C=180°
then
∠A=∠C
transitive
200
This type of proof shows why something is true using logical steps.
Two-column proof
200
A statement that needs to be proven before we can use it.
We prove these with definitions, postulates, and properties.
Theorems
300
If a=b and b=c then a=c
Reflexive Property
300
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?
Segment Addition
300
What is the last reason for the following algebra proof?
the division property of equality
300
Give an example of a property that is used just with angles.
Angle Addition Postulate
Angle Bisector
Supplementary Angles
Complementary Angles
300
The process of showing that a conclusion follows logically from given statements
Proof
400
Which property is illustrated by the following statement: If (a+b) = (d+e), then (a+b) - c = (d+e) - c
Subtraction Property of Equality
400
This reason justifies statement 2 in the following proof.
Def of midpoint
400
This type of reasoning shows each step is justified by a property or previous statement.
Deductive Reasoning
400
True/False. Definition of congruence is only used with segment proofs.
FALSE
400
A statement that explains the meaning of a word or phrase in math.
Definition
500
If x = 12 and you are given 2x + 4, which property allows for you to find the value of this expression is 28?
Substitution Property of Equality
500
Give statement #6
m<1 + m<5 = 180
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
A reasoning method that uses facts, definitions, and properties to reach a conclusion.
Deductive Reasoning