Similarity and congruence

  • Pentabuild
    problem

    Pentabuild

    Age
    16 to 18
    Challenge level
    filled star filled star empty star

    Explain how to construct a regular pentagon accurately using a straight edge and compass.

  • Von Koch Curve
    problem

    Von Koch Curve

    Age
    16 to 18
    Challenge level
    filled star filled star filled star

    Make a poster using equilateral triangles with sides 27, 9, 3 and 1 units assembled as stage 3 of the Von Koch fractal. Investigate areas & lengths when you repeat a process infinitely often.