Proving Angles Congruent

• 45

• 90

• 180

• impossible to determine

Which are pairs of vertical angles?

• ∠COB & ∠COA

• ∠AOD & ∠AOC

• ∠COB & ∠AOD

• ∠BOD & ∠AOD

What is the justification (reason)?

• Reflexive Property

• Symmetric Property

• Transitive Property

• Substitution

Fill in the reason for number 2.

• Definition of congruent angles

• Complement Theorem

• Congruent Complement theorm

• Congruent Supplement Theorem

Fill in the reason for number 5. 

• Definition of congruent angles

• Angle Addition Postulate

• Substitution Property

• Transitive Property

Fill in the reason for number 3. 

• Angle Addition Postulate

• Addition Property

• Definition of congruent angles

• Given

Fill in the statement for number 4.

• 30

• 45

• 60

• 90

What is the reason for the missing step in part a?

• Linear Pair

• Vertical Angles

• Congruent Complements

• Transitive Property

What is the reason for the missing reason in part c?

• Linear Pair

• Vertical Angles

• Congruent Complements

• Transitive Property