Identifying Properties of Equality and Congruence

If a = b, then a may be replaced by b in any expression.

• Transitive Property         

• Reflexive Property             

• Symmetric Property 

• Substitution Property

For any numbers a, b, and c, if a = b and b = c, then a = c.

• Transitive Property         

• Symmetric Property

• Reflexive Property

• Substitution Property

For any number a, a = a.

• Transitive Property         
                 
  

• Reflexive Property             

• Symmetric Property           

• Substitution Property

For any numbers a and b, if a = b, then b = a.

• Transitive Property         

• Reflexive Property 

• Symmetric Property   

• Substitution Property

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

• Reflexive Property of Equality

• Symmetric Property of Equality

• Symmetric Property of Congruence

• Reflexive Property of Congruence

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

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Distributive Property

• Transitive Property of Congruence

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?

• Distributive Property of Equality

• Reflexive Property of Equality

• Symmetric Property of Equality

• Transitive Property of Equality

What reason justifies statement #6?

• Definition of Midpoint

• Transitive Property

• Addition Property

• Segment Addition Postulate

• Substitution Property

Fill in the reason for number 3. 

• Reflexive property

• Symmetric Property

• Transitive property

• Substitution property

Which property is used here?

• Substitution Property

• Multiplication Property

• Segment Addition Postulate

• Subtraction Property

• Reflexive Property