Properties, Postulates, Definitions, and Theorems

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

Which of the following is NOT a property of a good proof?

• Includes all true statements.

• Includes reasons for each new statement.

• Readers have to look up Postulates and Definitions.

• Readers can follow the reasoning.

• Congruent Complements Theorem

• Congruent Supplements Theorem

• Vertical Angles Theorem

• Definition of Congruence

Which of the following can we use in a proof?

• definitions

• postulates

• theorems

• properties

• the given information

A statement that we assume is true without proof.

• corollaries

• theorems

• definitions

• postulates

A true statement that must be proven

• definitions

• theorems

• corollaries

• axiom

a statement of the meaning of a word or word group or a sign or symbol

• corollaries

• theorems

• definitions

• postulates

Adjacent angles that are supplementary and form a straight line.

• Vertical Angles

• Complementary Angles

• Supplementary Angles

• Linear Pair