Question

2
select the correct answer.
in an axiomatic system, which category do points, lines, and planes belong to?

theorems
axioms
undefined terms
definitions

Explanation:

🆕 New Concept Discovered: Axiomatic Systems in Geometry
Building blocks of mathematical reasoning.

Step 1: Understand axiomatic systems

An axiomatic system is a logical structure built from the ground up. To avoid defining words in terms of other words forever (circular reasoning), we must start with a set of basic terms that are accepted without formal definitions. These are called undefined terms.

Step 2: Identify the roles of points, lines, and planes

In geometry, we describe points, lines, and planes using intuitive ideas (for example, a point has location but no size), but we do not formally define them. Instead, we use these three fundamental building blocks to define all other geometric terms (like angles, segments, and polygons).

Therefore, points, lines, and planes are classified as undefined terms.

Answer:

undefined terms