CAIE IGCSE Mathematics Extended Equal Chords and Tangents

Practise applying equal-chord, perpendicular-bisector and equal-tangent properties with precise reasons in short circle proofs.

Syllabus
2028–2030
Objective
E4.8.1
Level
Extended

Exam points

  • infer equal chords from equal perpendicular distances to the centre, or apply the converse
  • use tangents from the same external point as equal lengths in an isosceles argument
  • combine equal radii, tangent right angles and a common side to justify triangle congruence

E4.8.1 Use the following symmetry properties of circles: • equal chords are question 1

[Maximum number: 3]
Figure for Question E4.8.1 Use the following symmetry properties of circles: • equal chords are question 1 — CAIE IGCSE Mathematics Extended

NOT TO SCALE
A, B, C and D are points on the circle, centre O.
M is the midpoint of AB and N is the midpoint of CD.
O M=O N

Explain, giving reasons, why triangle OAB is congruent to triangle OCD.

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