KEY POINTS FROM MATRIC MATHEMATICS

COROLLARY: These are formulas or Statements derived from main Formula / Theorem.

• Theorem may have many proofs.

• For convenience Figures may be shown separately from main figure.

• Pythagoras' theorem can be proved using proportionality of the sides of two similar triangles. Its converse can be proved using Congruent Triangles (SSS).

How to prove the basic theorems in geometry?

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1. Use the previous theorems, postulates, definitions and properties you already learned to prove new theorems. That's the principle of geometry, as you go by the lessons, you use what you learned before to learn new lessons.

2. Label the Drawing

3. Know where you are going (Given and Have to Prove)

Actually you can use two kinds of proving:

1. Direct and
2. Indirect.

In direct, you prove step by step until you come up with the desired statement.

In the other hand, indirect proving is when you prove the opposite of what you want to prove.

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Geometry Lesson: Postulates, Theorems and Proofs (Simplifying Math)