Chords of a circle

Form 4 Mathematics

Chords of a circle

This is a prototype of JavaSketchpad, a World-Wide-Web component of The Geometer's Sketchpad. Copyright & copy ; 1990-1998 by Key Curriculum Press, Inc. All rights reserved. Portions of this work were funded by the National Science Foundation (awards DMI 9561674 & 9623018).

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Perpendiculars to chords
Drag A,B and C. What is the measure of angle ACB when the lengths AC and CB are equal?
If AC = CB, then OC and AB are _____________.
If OCB is a right angle, then AC and CB are _______.
What can you say about the perpendicular bisector of any chord of a circle?
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Chords and their distances from the centre
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Vary the length of AB and CD to observe the change of the lengths of perpendiculars from the centre to the chords.
When will the lengths of the perpendiculars be equal? When will the triangles OAB and ACD be congruent? Drag A and C to check your answers.

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