Geometric Proofs

A Proof is a convincing mathematical argument.

This means that any person, who understands the terminology, accepts the definition and premises of the mathematics involved and thinks in a logical correct fashion could not deny the validity of the conclusions drawn.

Can be described but not given precise definitions using simple known terms .

Point

Line

Plane

These are intangible concepts that serve as a foundation. (Used for visualization )

Space- the set of all points

Geometric Figure- Any collection of points

• Definitions

• Postulates

• Properties

• previous proven theorems

Results that we declare from the undefined terms, definitions, postulates , or results that follow from them are call a Theorem

Theorem- is a mathematical Statement that can be proven.

Postulates are statements that we assume to be true.

An postulate states relationships among defined and undefined terms. The purpose stating postulates is to establish some first principles upon which the subject of geometry is based.

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• Justify each logical step with reason.

• You can use symbols and abbrev, but they must be clear and able to understand.

• Step 1 - Write the conjecture (an opinion or conclusion formed on the basis of incomplete information.)

• Step 2 - Draw the diagram

• Step 3 - State the Given information and mark it on the diagram

• Step 4 - State the conclusion of the conjecture in terms of Diagram