Edexcel IGCSE Maths 复习笔记 4.6.4 Circle Theorems - Alternate Segment

Edexcel IGCSE Maths 复习笔记 4.6.4 Circle Theorems - Alternate Segment

What you need to know

 

 

  1. Alternate Segment Theorem

 

Alternate-Segment-Theorem

  • The Alternate Segment Theorem states that the angle between a chord and a tangent is equal to the angle in the alternate segment
  • You can spot this circle theorem by looking for a “cyclic triangle” 

    ie. all 3 vertices lie on the circumference) but one vertex lies on a tangent – look for where 2 chords meet a tangent

 

 

Exam Tip

Questions often ask for “reasons” – aim to quote an angle fact or circle theorem for every angle you find, not just one for the final answer.

Worked Example

7.16.4-Circle-Theorems-Alternative-Segment-Worked-Example-1Q1-Circle-Theorems-4

Worked Example

Q1-CT4-Working-in-red7.16.4-Circle-Theorems-Alternative-Segment-Worked-Example-2

转载自savemyexam

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