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anonymous

  • one year ago

How many lines of symmetry does the figure have? http://assets.openstudy.com/updates/attachments/55b90c83e4b0adef802b862b-lollygirl217-1438267354354-as.jpg Which letter has rotational symmetry? Q H G A I think it's 6 and then h and a

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  1. anonymous
    • one year ago
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    Is that right?

  2. anonymous
    • one year ago
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    @triciaal

  3. mathstudent55
    • one year ago
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    The question means: How many lines can you draw through the center of this figure, so that if you fold the figure in half along the line, both sides will be perfectly superimposed?

  4. mathstudent55
    • one year ago
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    Here is an example wit a square. |dw:1438286601391:dw| If you fold the square along that line, you get the two halves exactly on top of each other. That means that is 1 line of symmetry.

  5. mathstudent55
    • one year ago
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    Here is another line of symmetry. |dw:1438286661309:dw|

  6. mathstudent55
    • one year ago
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    Here are the other 2 lines of symmetry. |dw:1438286697858:dw|

  7. mathstudent55
    • one year ago
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    A square 4 lines of symmetry.

  8. mathstudent55
    • one year ago
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    With a regular hexagon, you have: |dw:1438286789906:dw| There are 6 different lines of symmetry.

  9. anonymous
    • one year ago
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    6 lines of symatry \

  10. anonymous
    • one year ago
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    nice drawing

  11. mathstudent55
    • one year ago
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    Thanks

  12. mathstudent55
    • one year ago
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    I don;t know about the second question bec there are no letters in your hexagon drawing.

  13. anonymous
    • one year ago
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    Yay I was right on that.

  14. anonymous
    • one year ago
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    @mathstudent55 it is asking which one out of those numbers has rational symmetry, it does not connect with the last connection

  15. anonymous
    • one year ago
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    *question

  16. anonymous
    • one year ago
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    I am guessing H and A

  17. anonymous
    • one year ago
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    jk. Just H

  18. mathstudent55
    • one year ago
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    What do the letters H and A mean? I have no idea.

  19. mathstudent55
    • one year ago
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    Oh, I see. It means the letters themselves. It is talking about the shapes of the letters Q, H , G, and A.

  20. mathstudent55
    • one year ago
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    Here is letter Q. If you start rotating the letter Q about its center, how much do you need to rotate (how many degrees) until the rotated shape looks like the letter Q, right side up, again? |dw:1438287423001:dw|

  21. mathstudent55
    • one year ago
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    The answer is that you'd have to rotate Q a full 360 degrees until the little stroke of the rotated Q is on top of the original little stroke. That means the letter Q has no rotational symmetry.

  22. mathstudent55
    • one year ago
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    What about H? |dw:1438287647869:dw|

  23. mathstudent55
    • one year ago
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    Assuming that the capital H letter has two congruent and parallel vertical strokes positioned at the same height, and the horizontal stroke is the perpendicular bisector of the vertical strokes, then as you start rotating H about its center, when the vertical strokes become vertical again, the figure has rotated onto itself. You don't need a full 360-degree rotation for that. All you need is a 180-degree rotation. That means H has rotational symmetry.

  24. mathstudent55
    • one year ago
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    |dw:1438287899566:dw|

  25. mathstudent55
    • one year ago
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    Look a t the figure above. At position 1, the H is standing vertically in its normal position. It has not started to rotate yet. Then as you go to positions 2 through 6. you see the H rotating counterclockwise. When it gets to position 6, the H has rotated half a revolution, or 180 degrees. In position 6, the H looks again like an H, so the letter H does have rotational symmetry.

  26. mathstudent55
    • one year ago
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    If you try rotating the G and the A, you will get the same result as you got with the Q. It takes a full revolution for the G and the A to look again like a proper, right side up G and A, so the G and the A, just like the Q, do not have rotational symmetry.

  27. mathstudent55
    • one year ago
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    The answers are: 6 H

  28. anonymous
    • one year ago
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    Okay, thank you.

  29. mathstudent55
    • one year ago
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    You're welcome.

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