# 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 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?