chapter 10 polygons! lvillage.education.vic.gov.au/.../polygons.jpg
TRANSCRIPT
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Chapter 10
Polygons!
lvillage.education.vic.gov.au/.../polygons.JPG
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3/25- Notes: Chapter 10- sections 6&7
Symmetry and TessellationsGoals: By the end of today, you should
be able to . . . 1. Determine whether a figure has line
and/or rotational symmetry.2. Determine whether a tessellation is
regular, semi-regular or neither.3. Construct different types of tessellations
using dot paper.
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Line Symmetry
• A figure has line symmetry if you can draw a _______ through the middle of it and each half is a ____________ of the other half.
http://images.google.com/imgres?imgurl=http://education.yahoo.com/homework_help/math_help/solutionimages/mini6and7gt/6/1/1/mini6and7gt_6_1_1_23_50/f-530-15-pr-2.gif&imgrefurl=http://education.yahoo.com/homework_help/math_help/problem%3Fid%3Dmini6and7gt_6_1_1_23_50&usg=__NsBBBmh9Bs6yC2aoXHMHiKU3lho=&h=300&w=300&sz=3&hl=en&start=13&tbnid=BKkj4XtxIKV9nM:&tbnh=116&tbnw=116&prev=/images%3Fq%3DLine%2BSymmetry%26gbv%3D2%26hl%3Den%26sa%3DG
Goal #1
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Line Symmetry
• How do I tell if a figure has line symmetry?
• How do I tell how many lines of symmetry a figure has?
Goal #1
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Rotational Symmetry
• If a figure can be ________ less than ____ so that it looks exactly the same as the ________, then it has rotational symmetry.
gwydir.demon.co.uk/jo/symmetry/exsym8.gif
Goal #1
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Rotational Symmetry
• How do I tell if a figure has rotational symmetry?
• How do I tell what the degrees of rotation would be?
90°
180°
Goal #1
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Pause to practice Goal #1
• Line Symmetry
1. Does a figure have it?
2. If so, how many lines of symmetry does it have?
• Rotational Symmetry1. Does a figure have
it?2. If so, what are the
degrees of each turn?
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Tessellations
• Tessellation- a repeating pattern formed by polygons that have no overlapping or gapping.
• Let’s check out some more of this famous math geek/artist’s work
http://www.mcescher.com/
blauereiter.motime.com/archive/2006-04
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Tessellations
• Regular- a tessellation formed by _________ regular polygon.
More regular tesselations• Semi-regular- a
tessellation formed by ______ or more regular polygons.
More semi-regular tesselations• If a tessellation has any
shapes that are not regular polygons, then it is neither.
rms.hamp.k12.wv.us/.../TessellationsOnline.html
Goal #2
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Pause to practice Goal #2
• Tessellations
1. Is there any overlaps or gaps?
2. If not, what kinds of shapes make up the tesselation?