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Browsing by Australian Curriculum Specialist Mathematics

  1. Unit 1 Topic 3 Geometry
  2. Topic: Circle properties and their proofs including the following theorems:

Sub-topics:  ACMSM029 An angle in a semicircle is a right angle (0)  ACMSM030 The angle at the centre subtended by an arc of a circle is twice the angle at the cir… (0)  ACMSM031 Angles at the circumference of a circle subtended by the same arc are equal (0)  ACMSM032 The opposite angles of a cyclic quadrilateral are supplementary (0)  ACMSM033 Chords of equal length subtend equal angles at the centre and conversely chords subte… (0)  ACMSM034 The alternate segment theorem (0)  ACMSM035 When two chords of a circle intersect, the product of the lengths of the intervals on… (0)  ACMSM036 When a secant (meeting the circle at AA and BB) and a tangent (meeting the circle at … (0)  ACMSM037 Suitable converses of some of the above results (0)  ACMSM038 Solve problems finding unknown angles and lengths and prove further results using the… (0) 

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