I went with:
- Intersecting chords form an angle within the interior of a circle. The measure of that angle is half the sum of the two intercepted arcs.
- If a chord is bisected at a right angle, the bisector is a diameter of the circle (I always thought that it was neat that you could find the center of a circle with 2 chords)
- Intersecting chords break each other into 4 pieces (2 pieces each). The product of the 2 pieces of one chord is equal to the product of the 2 pieces of the other.
- Equal chords intercept equal arcs and are equidistant to the center of the circle. Probably one of the more confusing and not obviously relevant idea.
On the upside, I haven't had any students pronounce it with the 'ch' from 'church' sound. Progress?