Proofs

Linear Pair Postulate (LPP)

 if the measure of 2 angles adds to 180°, they are complimentary

Segment Addition Postulate (SAP)

 if point B is on line AC and between A and C, then AB+BC=AC

Angle Addition Postulate (AAP)

if point D lies between angle ABC, then the measure of angle ABD + the measure of angle DBC = the measure of angle ABC

Side-Side-Side (SSS)

if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent

Side-Angle-Side (SAS)

 if two sides and one angle are congruent to two sides and one angle of another triangle, then the triangles are congruent