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MATHEMATICS WORKSHOP EUCLIDEAN GEOMETRY

With the Educators, for the Educators MATHEMATICS WORKSHOP EUCLIDEAN GEOMETRY TEXTBOOK GRADE 11 (Chapter 8) Presented by: Jurg Basson MIND ACTION SERIES Attending this WORKSHOP = 10 SACE Points 1 8 EUCLIDEAN GEOMETRY BASIC CIRCLE TERMINOLOGY THEOREMS INVOLVING THE CENTRE OF A CIRCLE THEOREM 1 A The line drawn from the centre of a circle perpendicular to a chord bisects the chord. (line from centre to chord) If OM AB then AM MB= Proof Join OA and OB. In OAM and OBM: (a) OA OB= radii (b) 12 MM90== given (c) OM OM= common OAM OBM RHS AM MB = THEOREM 1A (Converse) The line segment joining the centre of a circle to the midpoint of a chord is perpendicular to the chord.

1 tangent s e c a n t d i a m e t e r c h or d arc r a d i u s sector.. seg ment CHAPTER 8 EUCLIDEAN GEOMETRY BASIC CIRCLE TERMINOLOGY THEOREMS INVOLVING THE CENTRE OF A CIRCLE THEOREM 1 A The line drawn from the centre of a circle perpendicular to a chord bisects the chord.

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