1 out of 3
Can you find triangles on a 9-point circle? Can you work out their angles?
1 out of 3
Join pentagons together edge to edge. Will they form a ring?
2 out of 3
Draw some stars and measure the angles at their points. Can you find and prove a result about their sum?
3 out of 3
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?
1 out of 3
Semi-regular tessellations combine two or more different regular polygons to fill the plane. Can you find all the semi-regular tessellations?
1 out of 3
Draw some quadrilaterals on a 9-point circle and work out the angles. Is there a theorem?
1 out of 3
Why does this fold create an angle of sixty degrees?
1 out of 3
Is it possible to find the angles in this rather special isosceles triangle?
2 out of 3
Given an equilateral triangle inside an isosceles triangle, can you find a relationship between the angles?
2 out of 3
An equilateral triangle rotates around regular polygons and produces an outline like a flower. What are the perimeters of the different flowers?
