Final answer:
A postulate is a fundamental assumption in mathematics. Two basic geometric postulates are that through any two distinct points there exists exactly one straight line, and that a line segment can be extended infinitely in either direction.
Step-by-step explanation:
A postulate, also known as an axiom, is a statement that is assumed to be true without proof for the purposes of reasoning in a mathematical or scientific argument. In the context of geometry, postulates are the fundamental assumptions upon which the entire geometric system is built. Two basic geometric postulates are:
- The first postulate is that through any two distinct points, there exists exactly one straight line.
- The second postulate is that a line segment can be extended infinitely in either direction.