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Symmetry and tessellationIB MYP Maths Standard: Flashcards

What these 13 flashcards ask

  • What is a line of symmetry?
  • How many lines of symmetry does a regular polygon with n sides have?
  • What is the order of rotational symmetry?
  • Order of rotational symmetry of a rectangle (not a square)?
  • Lines of symmetry of a parallelogram (not a rhombus or rectangle)?
  • Lines of symmetry and order for a square?
  • What is a tessellation?
  • Which regular polygons tessellate on their own?
  • Angles at a vertex must total?
  • Interior angle of a regular polygon with n sides?
  • Why does a regular pentagon not tessellate?
  • Do all triangles and quadrilaterals tessellate?
  • Which regular shapes fit together at 90+135+135?

Exam questions on Symmetry and tessellation

  1. A rhombus that is not a square.
    Explain why the rhombus does not have rotational symmetry of order 44.2 marks
  2. A tiler wants to cover a floor with tiles, leaving no gaps and no overlaps.
    The tiler also considers using squares and regular octagons together. Show that one square and two regular octagons fit together at a vertex.2 marks
  3. A quadrilateral tile has angles of 70∘70^\circ, 95∘95^\circ, 110∘110^\circ and x∘x^\circ. Many identical copies of the tile are available.
    Find the value of xx.3 marks
See the full worksheet

Written by the Exaim team, led by Shaun Daswani (Head of Upper Secondary, Improve ME Institute; MSc Financial Mathematics, Imperial College London; BSc, UCL) and Jason Daswani (operational lead, Improve ME Institute; LSE).