Geometry Proofs Theorems Postulates and Properties

A mathematical statement that requires proof is a

• theorem

• postulate

• definition

• conjecture

A mathematical statement that does NOT require proof is a

• theorem

• postulate

• conjecture

• definition

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

The property demonstrated by the following:

If AB=CD and CD=EF, then AB=EF

• reflexive

• substitution

• segment addition

• transitive

In the drawing, line l || m. What is true of angles 1 and 2 and why?

• They are supplementary by same side interior angles theorem.

• They are congruent by alternate interior angles theorem

• They are congruent by alternate exterior angles theorem.

• They are congruent by corresponding angles theorem.

Which property is used here; "If AB=CD, then CD=AB"?

• Reflexive Property

• Symmetric Property

• Transitive Property

In a triangle, how many total degrees are there?

• 100%

• 180 degrees

• it varies

• 360 degrees

In a geometric system, which would best describe how postulates differ from theorems?

• Postulates do not require a proof and are presumed true, while theorems are statements requiring proof.

• Postulates are statements that require proof, while theorems cannot be proven.

• Both postulates and theorems do not require proof and are assumed to be true.

• There is no difference between postulates and theorems.

If ∠A≅∠B and ∠B≅∠C, then ∠A≅∠C

• Reflexive Property of Congruence

• Transitive Property of Congruence

• Definition of Congruence

• Symmetric Property of Congruence

Which Postulate/Definition would you use to find HG?

• Segment Addition Postulate

• Angle Addition Postulate

• Definition of Segment Bisector

• Definition of Angle Bisector