geometry

2. a statement or formula that can be proven to be true based on other statements.
4. a statement or proposition on which an abstractly defined structure is based.
6. lying on or passing through the same straight line.
8. a point or line common to lines or surfaces that intersect.
10. a statement that is accepted as true without requiring proof

1. lying or acting in the same plane.
3. at equal distances.
5. the tapered, sharp end of a tool, weapon, or other object.
7. a straight, one-dimensional figure with no thickness that extends infinitely in both directions
9. having the same size and shape