UNIT OVERVIEW

Circle geometry is one of the most important topics in Grade 11 Mathematics. The theorems you learn here connect to each other, forming a system of geometric rules that will sharpen your logical thinking and problem-solving skills.

By the end of this unit, you will be able to:

• Prove that a tangent to a circle is perpendicular to the radius at the point of contact
• Apply the theorem that a perpendicular from the centre to a chord bisects the chord
• Prove and use the relationship between angles at the centre and angles at the circumference
• Work with angles subtended by the same arc (angles in the same segment)
• Prove and apply properties of cyclic quadrilaterals
• Use the equal tangent theorem from an external point
• Apply the tan-chord angle theorem (alternate segment theorem)
• Solve geometric riders using theorems and their converses

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