Symmetry and tessellationIB MYP Maths Extended: Mind map

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 $4$.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 $70^\circ$, $95^\circ$, $110^\circ$ and $x^\circ$. Many identical copies of the tile are available.
   Find the value of $x$.3 marks