Similarity and congruence

  • Another Triangle in a Triangle
    problem

    Another triangle in a triangle

    Age
    16 to 18
    Challenge level
    filled star filled star empty star
    Can you work out the fraction of the original triangle that is covered by the green triangle?
  • Same length
    problem

    Same length

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

    Construct two equilateral triangles on a straight line. There are two lengths that look the same - can you prove it?

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