Draw chords to cut a regular hexagon
(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 to download an isometric grid on which you can sketch the solutions.
Click here for the HEXAGON MUTATIONS worksheet.
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.
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The problem on hexagon is very interesting because it is practical I tried this with Grade 09 learners and the approach we used was paper folding which helped them to find the solutions.