GCSE Maths (Edexcel)

435 videos | 33 hours

Perpendicular from a Chord

Please subscribe to watch this video.

This, and all other videos, are included in our premium subscriptions.

Premium accounts get access to all videos.

Geometry and Measures Properties and Constructions

Perpendicular from a Chord

4:07 Circle Theorems
Spec G10
Previous Parts of a Circle Next Angle Between a Tangent & the Radius
  • The perpendicular line from the center of a circle to a chord bisects the chord.
  • The perpendicular bisector of any chord will always go through the center of the circle.
  • To prove the theorem, draw straight lines from the center of the circle to where the chord meets the circumference.
  • Identify the type of triangles made from these lines, the chord, and the perpendicular to the chord.
  • Check if the RHS congruence condition holds for these triangles.
  • Deduce that the two parts of the chord are equal in length.
  • The perpendicular line splits the chord into two equal pieces, proving the theorem.

Please subscribe to access these revision notes.

This, and all other video notes, are included in our premium subscriptions.

Premium accounts get access to all videos and revision notes.