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Javascript Version

A Cyclic Kite

In this diagram AB = BC and AD = DC. The line from B to the center of the circle through BCD is drawn.

Try to move the points so that A lies on the circle.

 

 

 

 

 

 

 

 

 

 

 

 

 

In this configuration, what do you observe about the line BD. What can we infer about the angles BAD and BCD?

How about the angles ABC and ADC?

If you are interested in this applet, you may like our Interactive Symbolic Geometry software Geometry Expressions.