Geometry Theorems and Postulates

Alternate Exterior Angles Theorem

• If a pair of parallel lines is cut by a traversal, then alternate exterior angles are congruent.

• If a pair of parallel lines is cut by a traversal, then alternate exterior angles are supplementary.

• If alternate exterior angles are congruent, then a pair of parallel lines is cut by a traversal.

• If alternate exterior angles are supplementary, then a pair of parallel lines is cut by a traversal.

A point that bisects a segment into two congruent segments

• midpoint

• ray

• skew lines

• angle

A rule that is accepted without proof

• postulate

• theorem

• proof

• conditional statement

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

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

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.

In a triangle, how many total degrees are there?

• 100%

• 180 degrees

• it varies

• 360 degrees