Symmetry and tessellationIB MYP Maths Extended: 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

A rhombus that is not a square.
Explain why the rhombus does not have rotational symmetry of order $4$ .2 marks
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
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

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).