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Chapter 10 Polygons! lvillage.education.vic.gov.au/.../polygons.JPG.

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Presentation on theme: "Chapter 10 Polygons! lvillage.education.vic.gov.au/.../polygons.JPG."— Presentation transcript:

1 Chapter 10 Polygons! lvillage.education.vic.gov.au/.../polygons.JPG

2 3/25- Notes: Chapter 10- sections 6&7 Symmetry and Tessellations Goals: 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.

3 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

4 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

5 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

6 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

7 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 Symmetry 1.Does a figure have it? 2.If so, what are the degrees of each turn?

8 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

9 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

10 Pause to practice Goal #2 Tessellations 1.Is there any overlaps or gaps? 2.If not, what kinds of shapes make up the tesselation?


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