!
Angles:Tessellations
Video36onwww.corbettmaths.com
Workout
Question1: Showhoweachofthefollowingshapestessellate.
Foreachyoushoulddrawatleast8shapes.
(a) (b) (c)
(d)
(f)
(e)
Apply
Question2: Thediagramshowshowequilateraltriangles
tessellate.
(a)Findthesizeoftheangley.
(b)Explainwhyequilateraltrianglestessellate.
Question3: Thedigramshowshowregularhexagonstessellate.
(a)Findthesizeoftheangley.
(b)Explainwhyregularhexagonstessellate.
© CORBETTMATHS 2016
!
Angles:Tessellations
Video36onwww.corbettmaths.com
Question4: Shownbelowisaregularpentagon,regularoctagonandaregulardecagon.
(a)
Findx
(b)
Findy
(c)
Findz
(d)
Explainwhyregularpentagonsdonottessellate.
(e)
Explainwhyregularoctagonsdonottessellate.
(f)
Explainwhyregulardecagonsdonottessellate.
Question5: Therearethreeregulartessellationsthatarepossibleusingonlyonetypeof
regularpolygon(equilateraltriangles,squaresandhexagons)
Thereareseveralmoresemi-regulartessellationswhicharemadefromtwoor
moretypesofregularpolygon.
Thepatternbelowshowsasemi-regulartessellationusingsquaresandregular
octagons.
Whatothersemi-regulartessellationscanyouQind?
© CORBETTMATHS 2016