Exploring maths through problem solving

Problem of the Week

The Star

This cat believes that he’s the star on the Christmas tree. Look for some pictures of Christmas tree stars and classify them according to whether they have rotational and/or line symmetry. How many orders of rotation? How many lines of symmetry?

Answer:

Here are some examples of Christmas tree stars that we have found:

Lines of symmetry: 5     Order of rotation: 5

Lines of symmetry: 6      Order of rotation: 6

Lines of symmetry: 5       Order of rotation: 5

Lines of symmetry: 7       Order of rotation: 7

Lines of symmetry: 6        Order of rotation: 6

Lines of symmetry: 1        No rotational symmetry

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