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At a Glance

The area of a regular pentagon looks about twice as a big as the pentangle star drawn within it. Is it?

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Darts and Kites

Explore the geometry of these dart and kite shapes!

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No Right Angle Here

Prove that the internal angle bisectors of a triangle will never be perpendicular to each other.

Angles in Three Squares

Age 11 to 16 Challenge Level:

In the diagram below, can you find angles equal to $a, b$ and $c$ from the problem?

What is special about triangle ABC?