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Identifying Properties of Equality and Congruence

Total questions: 20

Worksheet time: 20mins

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 of equality or congruence that justifies going from the first statement to the second statement.

a)

Reflexive Property of Equality

b)

Symmetric Property of Equality

c)

Symmetric Property of Congruence

d)

Reflexive Property of Congruence

6.

Name the property of equality or congruence that justifies going from the first statement to the second statement.

a)

Reflexive Property of Congruence

b)

Symmetric Property of Congruence

c)

Distributive Property

d)

Transitive Property of Congruence

7.

Given ∠𝐴 is an angle. Prove ∠𝐴 ≅ ∠𝐴. What is the reason for the statement 𝑚∠𝐴 ≅ 𝑚∠𝐴 in Step 2 of the proof?

a)

Distributive Property of Equality

b)

Reflexive Property of Equality

c)

Symmetric Property of Equality

d)

Transitive Property of Equality

8.

What reason justifies statement #6?

a)

Definition of Midpoint

b)

Transitive Property

c)

Addition Property

d)

Segment Addition Postulate

e)

Substitution Property

9.

Fill in the reason for number 3. 

a)

Reflexive property

b)

Symmetric Property

c)

Transitive property

d)

Substitution property

10.

Which property is used here?

a)

Substitution Property

b)

Multiplication Property

c)

Segment Addition Postulate

d)

Subtraction Property

e)

Reflexive Property

11.

What is the justification (reason)?

a)

Reflexive Property

b)

Symmetric Property

c)

Transitive Property

d)

Substitution

12.

Name the property described:
∠B≅∠B

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

13.

Name the property described:
If PQ = RS then RS = PQ

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

14.

Name the property described:
If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

15.

Name the property described:
If MN = OP and OP = QR, then MN = QR

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

16.

Name the property described:
m∠1=m∠1

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Addition

17.

Name the property.
<A≅<A

a)

Transitive Property of Congruence

b)

Symmetric Property of Equality

c)

Reflexive Property of Congruence

d)

Symmetric Property of Congruence

18.

If a=b, then 8a=8b.

a)

Multiplication Property of Equality

b)

Division Property of Equality

c)

Reflexive Property of Equality

d)

Addition Property of Equality

19.

If 5x = 30,
then 5x/5 = 30/5. 

a)

Division Property of Equality

b)

Multiplication Property of Equality

c)

Addition Property of Equality

d)

Subtraction Property of Equality

20.

DE=DE

a)

Transitive Property

b)

Symmetric Property

c)

Reflexive Property