### Network Trees

Explore some of the different types of network, and prove a result about network trees.

Join the midpoints of a quadrilateral to get a new quadrilateral. What is special about it?

### Matter of Scale

Can you prove Pythagoras' Theorem using enlargements and scale factors?

# Isosceles Seven

##### Age 14 to 16Challenge Level

You could start by considering a simpler case, such as the one below:

If angle $BAC = x$, what other angles can you find?
Can you find angle $ABC$ in terms of $x$?
Can you find angle $CBD$ in terms of $x$?...