Postulates, Angle Addition, Segment Addition, Vertical Angles

What is the reason for step #2?

• Substitution property

• Vertical Angle Theorem

• Definition of angle bisector

What is the reason for step #1?

• Definition of straight angle

• Addition property

• Angle Addition Postulate

• Segment Addition Postulate

What is the reason for step #2?

• Definition of supplementary angles

• Definition of straight angle

• Angle Addition Postulate

• Addition property

What is the reason for step #2?

• Addition property

• Transitive property

• Segment Addition Postulate

• Multiplication property

Solve for x

• x = 77

• x = 7.5

• x = 8

• x = 18

Solve

• 22°

• 42°

• 242°

• 12°

Which of the following theorems/postulates would verify that ∠COB & ∠AOD are congruent?

• Straight Angle Theorem

• Congruent Compliments Theorem

• Vertical Angles Theorem

• Linear Pair Theorem

If m∠XUZ = 123° and m∠ZUY = 45°, which definition/postulate explains why m∠XUY = 78°?

• Definition of Segment Bisector

• Definition of Angle Bisector

• Angle Addition Postulate

• Segment Addition Postulate

Which Postulate/Definition would you use to find HG?

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Segment Bisector

• Definition of Angle Bisector

Which postulate or definition states that
m∠ADB + m∠BDC = m∠ADC?

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Angle Bisector

• Definition of Congruent Angles