Geometry Construction Concepts

Introduction:
In Mathematics Geometry Constructions are the major part of Math Constructions, Propositions are of two kinds namely

• Theorem and
• Problems

             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 elementary 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.

        In the theorem stated above, “two lines intersect” is the hypothesis and “vertically opposite angles are equal” is the conclusion.
Hope you liked the above explanation. Please leave your comments, if you have any doubts.