Theorem

Theorem:

Introduction:

A Statement that requires a proof is called a theorem.
A theorem is a generalised statement, which can be proved logically. A theorem has two parts, a hypothesis, which states the given facts and a conclusion which states the property to be proved. The two statements given above are examples of theorems.
Theorems are proved using undefined terms, definitions, postulates and occasionally some axioms from algebra.
A theorem is a generalised statement because it is always true. For example the statement or the proposition “If two straight lines intersect, then the vertically opposite angles are equal” is true for any two straight lines intersecting at a point. Such a statement is called the general enunciation.
We can understand Theorems better with the help of an example:
As we can see the above figure,which says that,

Congruent angles are the one that have have the same angle measures. The theorem based on congruent angles is mentioned below

Statement

If two lines intersect, then the vertically opposite angles are congruent.

To Prove

Proof:

Similarly it can be proved that

Hence the theorem is proved.

Hope you like the above example of Theorems.Please leave your comments, if you have any doubts.