WorksheetsIdentifying Properties of Equality and Congruence
Total questions: 20
Worksheet time: 13mins
Name
Class
Date
1.
If a = b, then a may be replaced by b in any expression.
a)
Transitive Property
b)
Reflexive Property
c)
Symmetric Property
d)
Substitution Property
2.
For any numbers a, b, and c, if a = b and b = c, then a = c.
a)
Transitive Property
b)
Symmetric Property
c)
Reflexive Property
d)
Substitution Property
3.
For any number a, a = a.
a)
Transitive Property
b)
Reflexive Property
c)
Symmetric Property
d)
Substitution Property
4.
For any numbers a and b, if a = b, then b = a.
a)
Transitive Property
b)
Reflexive Property
c)
Symmetric Property
d)
Substitution Property
5.
Name the property described:
∠B≅∠B
∠B≅∠B
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
6.
Name the property described:
If PQ = RS then RS = PQ
If PQ = RS then RS = PQ
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
7.
Name the property described:
If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C
If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
8.
Name the property described:
m∠1=m∠1
m∠1=m∠1
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
9.
Name the property.
<A≅<A
<A≅<A
a)
Transitive Property of Congruence
b)
Symmetric Property of Equality
c)
Reflexive Property of Congruence
d)
Symmetric Property of Congruence
10.
Name the property described
If CD = 4, then CD + 12 = 4 + 12
If CD = 4, then CD + 12 = 4 + 12
a)
Addition
b)
Subtraction
c)
Substitution
d)
Division
11.
Name the property described:
If m∠3 = m∠4 then m∠4 = m∠3
If m∠3 = m∠4 then m∠4 = m∠3
a)
Reflexive
b)
Symmetric
c)
Transitive
d)
Addition
12.
Name the property described
If LM = NP, then 2⋅LM = 2⋅NP
If LM = NP, then 2⋅LM = 2⋅NP
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
13.
Name the property described
If XY = EF, then XY + 7 = EF + 7
If XY = EF, then XY + 7 = EF + 7
a)
Addition
b)
Subtraction
c)
Multiplication
d)
Division
14.
Name the property shown: If x + 5 = 7, then x = 2.
a)
Subtraction
b)
Substitution
c)
Multiplication
d)
Symmetric
15.
What is the justification for this step?
2n - 6 = 46
2n = 52
2n - 6 = 46
2n = 52
a)
Transitive property
b)
Addition property of equality
c)
Subtraction property of equality
d)
Subtraction
16.
If 3(x – 2) = 12, then 3x – 6 = 12.
a)
Addition Properties of Equality
b)
Multiplication Property of Equality
c)
Subtraction Property of Equality
d)
Distributive Property of Equality
17.
Identify the property you would use to solve this equation:
4x = 72
4x = 72
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
18.
Name the property you will first use to solve this equation:
4x – 5 = 17
4x – 5 = 17
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
19.
Name the property you will first use to solve this equation:
–2y + 8 = 36
–2y + 8 = 36
a)
Addition Property of Equality
b)
Subtraction Property of Equality
c)
Multiplication Property of Equality
d)
Division Property of Equality
20.
Which property is shown below?
__________________________
7n = 21 then n = 3
__________________________
7n = 21 then n = 3
a)
Division Property
b)
Sorcery
c)
Reduction of Multiples
d)
Distributive Property
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