10 6 symmetry lesson

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10 6 symmetry lesson

  1. 1. SymmetrySymmetryTwo Types:Two Types:1. Line Symmetry (can1. Line Symmetry (canbe calledbe called reflectionalreflectionalsymmetrysymmetry)–)– if youif youcan fold a shape andcan fold a shape andhave the edges meethave the edges meet The place where youThe place where youfold is called thefold is called the linelineof symmetryof symmetry
  2. 2. More Line SymmetryMore Line Symmetryreflectional symmetryreflectional symmetry
  3. 3. Line Symmetry in the AlphabetLine Symmetry in the AlphabetWhich letters have got lines of symmetry?Which letters have got lines of symmetry?A B C D E F G H IJ K L M N O P Q RS T U V W X Y ZClick to see the lines of symmetry.Click to see the lines of symmetry.
  4. 4. Lines of Symmetry all around usLines of Symmetry all around usWhich of these road signs have got lines ofWhich of these road signs have got lines ofsymmetry?symmetry?Click to see the lines of symmetry.Click to see the lines of symmetry.
  5. 5. CarpetsCarpets
  6. 6. Examples:Examples: Do the following shapes have lineDo the following shapes have linesymmetry? If so, how many lines ofsymmetry? If so, how many lines ofsymmetry do they have?symmetry do they have?a. b. c. d. e.a. b. c. d. e.1 Line1 Line 2 Lines2 Lines 4 Lines4 Lines 2 Lines2 LinesNoNoLinesLines
  7. 7. Rotational SymmetryRotational Symmetry 2. Rotational Symmetry: If you can turn2. Rotational Symmetry: If you can turnthe shape less than 360the shape less than 360ooand still haveand still havethe same shape.the same shape. Order of Rotational Symmetry: Is theOrder of Rotational Symmetry: Is thenumber of rotations that must be made tonumber of rotations that must be made toreturn to the original orientationreturn to the original orientation Minimum Rotational Symmetry: TheMinimum Rotational Symmetry: Thesmallest number of degrees a shape cansmallest number of degrees a shape canbe rotated and fit exactly on itselfbe rotated and fit exactly on itself Hint: Take 360Hint: Take 360oodivided by the number ofdivided by the number ofsides/points.sides/points.Optional – extra information
  8. 8. SymmetrySymmetry A figure that hasA figure that has rotational symmetryrotational symmetry is itsis itsown image for some rotation of 180own image for some rotation of 180°° ororlessless. A figure that has. A figure that has point symmetrypoint symmetry hashas180180° rotational symmetry.° rotational symmetry. A square has 90° and 180° rotationalA square has 90° and 180° rotationalsymmetry with the center of rotation at thesymmetry with the center of rotation at thecenter of the square. A square also hascenter of the square. A square also haspoint symmetry.point symmetry.
  9. 9. Identifying Rotational SymmetryIdentifying Rotational Symmetry Identify any rotational symmetry in theIdentify any rotational symmetry in thefigure.figure.
  10. 10. Identifying Rotational SymmetryIdentifying Rotational Symmetry This figure has rotational symmetry, It willThis figure has rotational symmetry, It willcoincide with itself after being rotated 90coincide with itself after being rotated 90°°or 180° in either direction.or 180° in either direction.
  11. 11. Identifying Rotational SymmetryIdentifying Rotational Symmetry This figure has rotational symmetry. It willThis figure has rotational symmetry. It willcoincide with itself after being rotated 60coincide with itself after being rotated 60°°,,120120°°, or 180, or 180°° in either direction.in either direction.
  12. 12. Identifying Rotational SymmetryIdentifying Rotational Symmetry This figure has no rotational symmetry. ItThis figure has no rotational symmetry. Itdoes have horizontal line of symmetry.does have horizontal line of symmetry.
  13. 13. Examples:Examples:
  14. 14. Rotational Symmetry all aroundRotational Symmetry all aroundususWhich road signs have got rotational symmetry?Which road signs have got rotational symmetry?Click to see the answers.Click to see the answers.
  15. 15. Rotational Symmetry all aroundRotational Symmetry all aroundususWhich road signs have got rotational symmetry?Which road signs have got rotational symmetry?
  16. 16. Rotational Symmetry all aroundRotational Symmetry all aroundususOrder 3 Order 2 Order 2
  17. 17. Rotational Symmetry all aroundRotational Symmetry all aroundususOrder 4 Order 3 Order 2
  18. 18. Rotational Symmetry all aroundRotational Symmetry all aroundususOrder 3 Order 2

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