Properties of Congruence and Algebraic Proofs

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

Tags

CCSS.HSG.SRT.B.5

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 described:
If PQ = RS then RS = PQ

• Reflexive
• Symmetric
• Transitive
• Addition

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

• Reflexive
• Symmetric
• Transitive
• Addition

Tags

CCSS.HSG.SRT.B.5

AB + BC = AC is justified by which option below?

• Angle Addition Postulate

• Addition Property

• Segment Addition Postulate

• Theorem 22C

If B is the midpoint of AC, then AB ≅ BC.

• Definition of Congruent Segments
• Definition of Midpoint
• Vertical Angles Theorem
• Definition of Angle Bisector

Tags

CCSS.HSG.GPE.B.6

If k = 3, then 3 = k.

• Substitution Property of Equality
• Reflexive Property of Equality
• Symmetric Property of Equality
• Transitive Property of Equality

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

• Multiplication Property of Equality
• Division Property of Equality
• Reflexive Property of Equality
• Addition Property of Equality

Tags

CCSS.HSA.REI.A.1