(a) into two pieces which, when put together, make a parallelogram;
(b) into three pieces which, when put together, make a rhombus;
(c) into four pieces which, when put together, make two equilateral triangles.
(d) What angles can you find in each of your shapes?
(e) If the edges of the hexagon are all 2 units what other lengths can you find?
(f) What areas can you find?
Click here for a worksheet and some hexagons that you can cut up.
Click here for the AIMSSEC Notes for Teachers – Hexagon Mutations
This problem is adapted from the NRICH task Hexagon Transformations with permission of the University of Cambridge. All rights reserved.