Properties of Equality
Geometric
Algebraic
Definitions
If, Then
RANDOM
100
x - 2 = 4
x = 6
Addition Property of Equality
100
angle C cong angle A
angle A cong angle C
Symmetric Property of Equality.
100
Give an example of the subtraction property.
EX:
x + 8 = 58
x = 50
100
The point that divides a segment into two congruent segments.
Midpoint
100
Mrs. Bishop loves math
If you are Mrs. Bishop, then you love math.
100
The first reason on any algebra proof is this ____.
Given
200
if a=b then b=a
symmetric property
200
What is the degree measure of a straight line?
180 degrees
200
This would be an example of the which property?
If ∠A+∠B=180° and ∠C+∠D=180°
then
angle A + angle B = angleC+angleD
Transitive Property
200
Having the same measure (size and shape)
Congruence
200
"Proofs make a lot of sense."
If it's a proof, then it makes a lot of sense.
200
Name the two types of proofs that we have looked at.
Two-column proof and flowchart proof
300
a = b
b = c
so, a = c
Transitive Property
300
Point A is in between point C and point B. Point C and point B are collinear. Therefore CA + AB = CB. This is an example of which postulate?
Segment Addition
300
What is the last reason for the following algebra proof?
Division Property of Equality
300
The process of showing that a conclusion follows logically from given statements
Proof
300
Is the converse of this statement true or false:
False
300
What divides an angle, shape, or line segment into two congruent sections?
Bisector
400
x(x-2) = 3
x^2-2x = 3
Distribution Property
400
This reason justifies statement 2 in the following proof.
Defenition of midpoint
400
Solve for x.
2x + 3 = 9
x = 3
400
What are the symbols for equal, congruent, similar and approximately.
Definition
400
Identify the hypothesis in the following statement:
"If it's the second week of June, then it is J-Term"
"it's the second week of June"
400
True/False. The last step in a proof is always division.
FALSE
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 degrees
500
What is a logical 2nd statement (assuming the first is a given):
x + y = w + v
500
Angles that add up to equal 90 degrees
Complementary Angles
500
Write an If - Then statement AND determine if the converse is true or false. If it is false, give a counter example
triangleABC congtriangleXYZ
m angle B = m angle Y
if
triangleABC congtriangleXYZ
then,
m angle B = m angle Y
500
Name the property.
angle x = angle x
Reflexive Property