Properties of chords in a circle

Choong Tze Hong, Sep 15, 2014

The following Geogebra book consists of 3 properties of chords in circles: 1. Perpendicular from centre bisects chord, 2. Perpendicular bisector of chord passes through centre, and 3. Equal chords equidistant from centre.


  • 1. Math 9: Chord Properties (Part 3 of 3)
  • 2. Theorem based on circle
  • 3. Equidistant Chords of a circle

1.

Math 9: Chord Properties (Part 3 of 3)

Note that line segment AB is perpendicular to chord DE.[br]Move Point B along DE until AB passes through the centre of the circle.[br]What do you notice about DB and BE?
Math 9: Chord Properties (Part 3 of 3)
The Rule: The perpendicular bisector of a chord passes through the centre of the circle.[br][br]The Big Picture: [br] - [b]perpendicular[/b][br] - [b] bisecto[/b]r of chord [br] - through [b]centre[/b] of circle[br]if two of these are true then all three are true.
– sloucks

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