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Is that right?
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?
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.
Here is another line of symmetry. |dw:1438286661309:dw|
Here are the other 2 lines of symmetry. |dw:1438286697858:dw|
A square 4 lines of symmetry.
With a regular hexagon, you have: |dw:1438286789906:dw| There are 6 different lines of symmetry.
6 lines of symatry \
I don;t know about the second question bec there are no letters in your hexagon drawing.
Yay I was right on that.
@mathstudent55 it is asking which one out of those numbers has rational symmetry, it does not connect with the last connection
I am guessing H and A
jk. Just H
What do the letters H and A mean? I have no idea.
Oh, I see. It means the letters themselves. It is talking about the shapes of the letters Q, H , G, and A.
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|
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.
What about H? |dw:1438287647869:dw|
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.
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.
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.
The answers are: 6 H
Okay, thank you.