Free construction of a rhombus

In the preceding activity, you should have discovered that a rhombus has (among others) the following important properties:

  1. Two axes of symmetry, each through a pair of opposite vertices
  2. All sides equal
  3. Perpendicular diagonals
  4. Circumscribed
  5. Bisecting diagonals
  6. Opposite sides parallel

Choose one of the properties above, or a combination of two or more, and use the sketch and associated construction tools below, to construct a dynamic rhombus by using only those selected properties. Try to construct a dynamic rhombus in at least three completely different ways. Carefully check your constructions by dragging using the 'move element' tool to see whether it remains a rhombus, and also whether you can drag it into the shape of a square.

Please enable Java for an interactive construction (with Cinderella). Please enable Java for an interactive construction (with Cinderella). Please enable Java for an interactive construction (with Cinderella).

Directed Constructions of Rhombus

(still under construction)

Created with Cinderella by Michael de Villiers, modified 29 January 2012.