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Inner Rectangle

Age 11 to 14 Short
Challenge Level

The quadrilateral ABCD has angle bisectors drawn from each of its vertices. These angle bisectors meet to form another quadrilateral PQRS.

If PQRS is a rectangle, what can you say about ABCD?

This problem is taken from 1000 Problems to Enjoy
You can find more short problems, arranged by curriculum topic, in our short problems collection.