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Symmetry Has 3 Types Rotation Translation Reflection

Symmetry Has 3 Types Rotation Translation Reflection. Symmetry. M7G2. Relate symmetry to appropriate transformations. What is a line of symmetry?. A line on which a figure can be folded so that both sides match. To be a line of symmetry, the shape must have two halves that match exactly.

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Symmetry Has 3 Types Rotation Translation Reflection

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  1. Symmetry Has 3 Types Rotation Translation Reflection

  2. Symmetry M7G2. Relate symmetry to appropriate transformations.

  3. What is a line of symmetry? • A line on which a figure can be folded so that both sides match.

  4. To be a line of symmetry, the shape must have two halves that match exactly. The two halves are symmetrical. When you trace a heart onto a piece of folded paper, and then cut it out, the two half hearts make a whole heart.

  5. United States of America Canada Maryland England Which of these flags have a line of symmetry? No No

  6. - What about these math symbols? Do they have symmetry? + - Yes Yes x Yes Yes

  7. Regular polygons have equal side lengths. How many lines of symmetry do these have? 5 4 3 Do you see a pattern? 8 6

  8. You can look to see if your name has symmetrical letters in it too! A B C D E FG H I J K L M N O P Q R S T U V W X Y Z Infinite number

  9. Rotation(Turn) The action of turning a figure around a point or a vertex.

  10. Click the triangle to see rotation Turning a figure around a point or a vertex Rotation

  11. Rotational Symmetry • Rotational symmetry Can turn 180 degrees or less and map back onto itself to be able to do this there has to be 2 or more lines of symmetry. The figure has to have 2 or more lines of symmetry.

  12. Angle of Rotation • The smallest angle through which you can turn the figure so that it looks the same as it does in its original position. You have to specify the direction of rotation.

  13. Calculate the Angle of Rotation • To calculate the angle divide 360º by the number of lines of symmetry. For the triangle on the previous slide 360º ÷ 3 = 120º Counter Clockwise

  14. Translation (Slide) The action of sliding a figure in any direction.

  15. Click the Octagon to see Translation. Translation The act of sliding a figure in any direction.

  16. Translational Symmetry • You can slide a design to a position in which it looks exactly the same as it did in its original position.

  17. Tessellation A pattern with translational symmetry is repeating, like a wallpaper or fabric pattern.

  18. Reflection (flip) The result of a figure flipped over a line.

  19. Reflection Click on this trapezoid to see reflection. The result of a figure flipped over a line.

  20. Reflection Symmetry • A figure that has a line of symmetry that divides it into 2 equal parts. Sometimes referred to as mirror symmetry or line symmetry

  21. Which shapes show reflection, translation, or rotation? Reflection Rotation Translation

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