Geometry of Circles · Geometry & Measurement

Angle Properties of Circles

Investigating angles at the center, circumference, and within cyclic quadrilaterals.

Key Questions

  1. 1Why is the angle at the center always double the angle at the circumference for the same arc?
  2. 2How do the properties of isosceles triangles help us prove circle theorems?
  3. 3What makes the opposite angles of a cyclic quadrilateral unique compared to other quadrilaterals?

MOE Syllabus Outcomes

MOE: Geometry and Measurement - S3MOE: Geometry of Circles - S3
Level: Secondary 3
Subject: Mathematics
Unit: Geometry of Circles
Period: Geometry & Measurement

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