Math Circles at Home: Trapezoids, Hexarights, and Reptiles

By April 27, 2020Uncategorized

With school back in session (online), here’s a simple math circle activity to try at home when you need a break. 🙂

  • A trapezoid is a quadrilateral with at least one pair of parallel sides.
  • A hexaright is a hexagon with all sides at right angles.
  • A reptile is a polygon that can be divided into four congruent pieces, all similar to the original.

This figure at right is a trapezoidal reptile; note that the horizontal sides of the trapezoid–both the ‘big’ original along with the four ‘little’ copies–are in a 2:1 ratio.


Show that the trapezoids and hexarights below are also reptiles. From there, try to make up a new reptile of your own!