Equidistant Chords (Proof)

Below shows a circle, with centre O.
The points P and Q are points inside the circle.

You can:

• shift the point O to change the position of the circle
• shift the point X to change the size of the circle
• shift the points P and Q to change their positions (within the circle) and the lengths of OP and OQ

Instructions:

1. Adjust the positions of the points P and Q and the lengths of OP and OQ.
2. Check all boxes.
3. Repeat steps 1 & 2 for other positions and lengths of OP and OQ.

Note: To see the animation, check all boxes, then click on the "play" button (at bottom left).



Download the GeoGebra file: http://www.geogebratube.org/material/download/format/file/id/41527