Classify each of the following statements as a definition po

Classify each of the following statements as a definition, postulate, conjecture, or theorem: . If the sides of two angles form two pairs of opposite rays, then the angles are vertical A. B. If two angles form a linear pair, then the two angles are supplementary C. If you are given three noncollinear points, then the three points are contained in exactly one plane. D. If two lines are cut by a transversal so that alternate exterior angles are congruent, then the lines are parallel.

Solution

A. If the sides of two angles form two pairs of opposite rays, then the angles are vertical. This is Conjecture.

B. If two angles form a linear pair , then the are supplementary - This is a Postulate as it has correct reasoning to be true.

C. If you are given three non collinear points , then then three points are contained in exactly one plane is a THEORM. It has a proof of its own.

D. If two lines are cut by a transversal so that alternate exterior angles are congruent then the lines are parallel - This is a Postulate as it has correct reasoning to be true.