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

Tags

CCSS.HSG.CO.A.1

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

Tags

CCSS.HSG.CO.A.1

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

Tags

CCSS.HSG.CO.A.1

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

• line

• plane

• point

• arrow

Tags

CCSS.HSG.CO.A.1

Extends infinitely in two dimensions. It has no thickness.

• line

• plane

• point

• arrow

Tags

CCSS.HSG.CO.A.1

A part of a line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.

• ray

• line segment

• plane

• angle

Tags

CCSS.HSG.CO.A.1

Part of a line that has a fixed starting point but does not have an endpoint. It can extend infinitely in one direction, meaning that it can go on forever in one direction.

• ray

• line segment

• plane

• angle

Tags

CCSS.HSG.CO.A.1

Can be defined as the figure formed by two rays meeting at a common end point.

• ray

• line segment

• plane

• angle

Tags

CCSS.HSG.CO.A.1