Equal Chords (Proof)

Below shows a circle, with centre O.
The points A, B, C, D and X are points on the circumference of the circle.
The points P and Q are points on the chords AB and CD respectively.

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 the positions and the lengths of the chords AB and CD

Instructions:

1. Adjust the positions and lengths of the chords AB and CD.
2. Check all boxes.
3. Repeat steps 1 & 2 for other positions and lengths of the chords AB and CD.

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/41526