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Network Trees

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

Quad in Quad

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 16
Challenge 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 $x$?...