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# Postul. and Theorems

### Familiarize yourself with postulates and theorems

TermDefinition
Angle Addition Postulate putting two angles side by side with their vertices together creates a new angle whose measure equals the sum of the measures of the two original angles
Vertical Angle Theorem Angles that are opposite each other and congruent
Congruent Supplements Theorem if two angles, 1 and 2, are both supplementary to the same angle, angle 3, then angle 1 and angle 3 are congruent.
Congruent Complement Theorem If 2 angles are complementary to the same angle, then they are congruent to each other
Linear Pair Postulate two angles that form a linear pair are supplementary and adjacent
Parallel Postulate There is only one line that can go through a point not on a line, that will create a parallel line.
Perpendicular Postulate There is only one line that can go through a point not on a line, that will be perpendicular to another line.
Corresponding Postulate Congruent angles, on the same side of the transversal and corresponding, formed by two parallel lines being cut by a transversal
Alternate Interior Theorem Congruent angles that lie on opposite sides of a transversal, and lie in between two parallel lines.
Consecutive Interior Theorem Supplementary angles that lie on the same side of a transversal and inside two parallel lines
Alternate Exterior Theorem Congruent angles that lie on opposite sides of a transversal and are outside two parallel lines
Perpendicular Transversal Theorem If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other
Created by: MrsK_KauaiHigh