Axioms

Axiom: A statement or proposition that is regarded as being established, accepted, or self-evidently true.

1. Axiom 1: There is exactly one line through any two given points
2. Axiom 2: [Ruler Axiom]: The properties of the distance between points.
3. Axiom 3: Protractor Axiom (The properties of the degree measure of an angle).
4. Axiom 4: Congruent triangles conditions (SSS, SAS, ASA)
5. Axiom 5: Given any line l and a point P, there is exactly one line through P that is parallel to l.

Corollaries

Corollary: A proposition that follows from (and is often appended... (More)