Further Problems about intersecting circles

Form 4 Mathematics

Further Problems about intersecting circles

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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Problem 1

B and C are the intersection points of two circles. A is a variable point on one of the circles. AB and AC are produced to meet the other circle at P and Q respectively?

Drag A along the circle. What happens to the line segment when A moves?

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Drag A along the circle. What can you say about the angle PBQ?

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Problem 2

A and B are the intersectiom points of two circles. P and Q are two variable points on one of the circles. PA and QB are produced to meet the other circle at R and S respectively?

Drag P and Q along the circle. What happens to the line segments PQ and RS?

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Prove you conclusion above. This diagram, with three marked angles, may help you.

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Press here to see the same file written using Cabri Java

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