2.8 Angle Relationships Theorems

What is the justification?

• Definition of Supplementary Angles

• Vertical Angles Theorem

• Definition of an Angle Bisector

• Angle Addition Postulate

What is the justification?

• Segment Addition Postulate

• Definition of Midpoint

• Addition Property of Equality

• Complement Theorem

What is the justification?

• Vertical Angles Theorem

• Transitive Property of Equality

• Compliment Theorem

• Reflexive Property of Congruence

What is the justification?

• Reflexive Property of Congruence

• Vertical Angles Theorem

• Supplement Theorem

• Complement Theorem

What is the justification?

• Definition of Angle Bisector

• Angle Addition Postulate

• Complement Theorem

• Symmetric Property of Congruence

What is the justification?

• Angle Addition Postulate

• Angle Bisector Definition

• Addition Property of Equality

• Supplement Theorem

What is the justification?

• Definition of Congruence

• Definition of Perpendicular

• Definition of Complementary Angles

• Definition of a Right Angle

• Multiplication Property of Equality

• Segment Addition Postulate

• Definition of Midpoint

• Symmetric Property of Congruence

m $\angle$  ABD + m $\angle$  DBC = m $\angle$  ABC

• Vertical Angles Theorem 

• Angle Addition Postulate 

• Def. of congruence 

• Def. of midpoint 

• Vertical Angles Theorem

• Angle Addition Postulate

• Definition of Complementary Angles

• Supplement Theorem

• Congruent Supplement Theorem