Mathematical System

These are mathematical terms which cannot be precisely defined. They can only be explained using examples and descriptions. In geometry, these are lines, points, and planes.

• undefined terms

• defined terms

• axioms and postulates

• theorems

Using the undefined terms, other terms can be generated and define precisely. For example, line segments, ray, angles etc.

• undefined terms

• defined terms

• axioms and postulates

• theorems

A statement that is taken to be true, to serve as a premise or starting point for further reasoning and arguments.

• undefined terms

• defined terms

• axioms and postulates

• theorems

These are statements that we can arrive at by successive application of the rule of implication to the axioms and postulates. These are statements that can be proven to be true.

• undefined terms

• defined terms

• axioms and postulates

• theorems

Defined as a line of points that extends infinitely in two directions. It has one dimension, length.

• line

• plane

• point

• arrow

It has no size i.e. no width, no length and no depth.

• line

• plane

• point

• arrow

Extends infinitely in two dimensions. It has no thickness.

• line

• plane

• point

• arrow

Points that lie on the same line are ____________.

• collinear

• coplanar

• non collinear

• non coplanar

A portion of a line with one endpoint and which extends indefinitely in only one direction is called _______.

• line

• line segment

• ray

• plane

Statements that are accepted as true without proof.

• Postulate

• Theorem

• Undefined Terms

• Defined Terms