Properties, Postulates, Definitions, and Theorems

Which Postulate/Definition would you use to find HG?

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Segment Bisector

• Definition of Angle Bisector

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 AB=50, which definition would explain why AM=25?

• Definition of Congruent

• Definition of Midpoint

• Definition of Segment

Given that AM=MB, what definition allows us to say that the respective segments are congruent?

• Definition of Congruent

• Definition of Midpoint

• Definition of Segment

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

If the ray HK is bisecting ∠GHJ, then what reason would you use to say ∠GHK is congruent to ∠KHJ?

• Definition of Midpoint

• Definition of Angle Bisector

• Definition of Congruent

• Definition of Segment Bisector

If the ray HK is bisecting ∠GHJ, then what reason would you use to say m∠GHK=m∠KHJ?

• Definition of Midpoint

• Definition of Angle Bisector

• Definition of Congruent

• Definition of Segment Bisector

Given that ∠ABD ≅∠CBE, what definition allows you to conclude that m∠ABD=m∠CBE?

• Definition of Angle Bisector

• Definition of Segment Bisector

• Definition of Midpoint

• Definition of Congruent

Identify the property you would use to solve this equation:
4x = 72

• Addition Property of Equality
• Subtraction Property of Equality
• Multiplication Property of Equality
• Division Property of Equality

Identify the property you would use to solve this equation:

y – 7 = 28

• Addition Property of Equality

• Subtraction Property of Equality

• Multiplication Property of Equality

• Division Property of Equality