Properties of Congruence and Algebraic Proofs

• Multiplication Property of Equality

• Segment Addition Postulate

• Definition of Midpoint

• Symmetric Property of Congruence

Name that Property

• Transitive Property of Congruence

• Multiplication Property of Equality

• Division Property of Equality

• Reflexive Property of Congruence

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

• Transitive Property of Equality

• Symmetric Property of Equality

• Reflexive Property of Equality

• Substitution Property of Equality

What is the justification?

• Vertical Angles Theorem

• Transitive Property of Equality

• Compliment Theorem

• Reflexive Property of Congruence

Name that Property

• Reflexive Property of Congruence

• Symmetric Property of Congruence

• Transitive Property of Congruence

• Addition Property of Equality

Definition of Congruence

• Definition of Congruence

• Reflexive Property

• Symmetric Property

• Definition of Angle Bisector

Name that property

• Reflexive Property of Congruence

• Transitive Property of Congruence

• Symmetric Property of Congruence

• Substitution Property of Equality

What is the reason?

• Reflexive

• Symmetric

• Definition of Congruence

• Definition of Angle

What is the justification?

• Reflexive Prop.

• Symmetric Prop.

• Transitive Prop.

• Substitution

What is the justification?

• Symmetric Prop.

• Angle addition postulate

• Reflexive Prop

• Transitive Prop.