Third Quarter Lesson 1

is a statement that is taken to be true, to serve as

a premise or starting point for further reasoning and arguments. An axiom

is any mathematical statement that serves as a starting point from which

other statements are logically derived.

• axiom or postulate

• axiomatic system

• theorems.

• corollary

• lemma

consists of undefined terms (primitive terms). It is

any set of axioms from which some or all axioms can be used in

conjunction to logically derive theorems.

• axiom or postulate

• axiomatic system

• theorem

• corollary

• lemma

is a statement proven based on axioms, other

theorems, and some set of logical connectives.

• axiom or postulate

• axiomatic system

• theorem

• corollary

• lemma

is generally used to describe an auxiliary fact that is used in the

proof of a more significant result (theorem)

• axiom or postulate

• axiomatic system

• theorem

• corollary

• lemma

is a theorem that is usually considered an easy

consequence/results of another theorem.

• axiom or postulate

• axiomatic system

• theorem

• corollary

• lemma

has no dimension, no width, no length and no thickness. It is

represented by a dot which is used to pinpoint a location. It is named by a

capital letter. In the coordinate plane, a point is named by an ordered pair

• point

• line

• plane

has no width and no thickness, but it has length since it

extends indefinitely in opposite directions

• point

• line

• plane

has no thickness, but it has length and width. It is represented

by any flat surface and named by any three points of the plane, which are not

on the same line, or simply by a single script letter.

• point

• line

• plane

refer to the end of a segment or ray.

• Endpoint

• line segment

• ray

• angle

is a subset or part of a line. It consists of two

endpoints.

• Endpoint

• line segment

• ray

• angle