SS1 Second Term Mathematics Lesson Note – Proofs of Some Basic Theorems

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WEEK 8

TOPIC: PROOFS OF SOME BASIC THEOREMS

CONTENT:

• Proof: The sum of the angles in a triangle
• The exterior angle of a triangle is equal to the sum of the opposite interior angles
• Congruency and similarity of triangles.

INTRODUCTION

Geometry is the study of the properties of shapes. In theoretical or formal geometry, the facts are proved for general cases by a method of argument or reasoning rather than by measurement. Geometrical basic facts are called theorems. Theorems are the foundations upon which geometry is built.

Interior and exterior angles of triangle.

Recall: Angles on a straight line is 180 . Thus,

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