Angles in polygons
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Is it possible to find the angles in this rather special isosceles triangle?
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Triangle or no triangle?
Here is a selection of different shapes. Can you work out which ones are triangles, and why?
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Name that triangle!
Can you sketch triangles that fit in the cells in this grid? Which ones are impossible? How do you know?
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Walking round a triangle
This ladybird is taking a walk round a triangle. Can you see how much he has turned when he gets back to where he started?
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Round a hexagon
This problem shows that the external angles of an irregular hexagon add to a circle.
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Triangles and petals
An equilateral triangle rotates around regular polygons and
produces an outline like a flower. What are the perimeters of the
different flowers?
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Semi-regular tessellations
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
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Which solids can we make?
Interior angles can help us to work out which polygons will tessellate. Can we use similar ideas to predict which polygons combine to create semi-regular solids?
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Quadrilaterals
How many DIFFERENT quadrilaterals can be made by joining the dots on the 8-point circle?