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

Darts and Kites

Explore the geometry of these dart and kite shapes!

No Right Angle Here

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

Pegboard Quads

Age 14 to 16
Challenge Level

quadrilateral on a pegboard
Make five different quadrilaterals on a nine-point pegboard, without using the centre peg.

Work out the angles in each quadrilateral you make.

Perhaps checking that the four angles do add up to $360^\circ$!

Now, what other relationships you can see?

For printable sets of circle templates for use with this activity, please see Printable Resources page.

Many thanks to Geoff Faux who introduced us to the merits of the 9 pin circular geo-board.