2006-06-06 05:34:56 · 11 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Depends which axis you're talking about. If the letters were three dimensional objects instead of written on a page, there would be three axes that you could rotate about.
Extend your index finger straight out, extend your thumb straight up, and extend your middle finger perpendicular to the index and thumb. That gives you three 'axes', all perpendicular to each other. Your index finger could be the x, your middle finger the y, and the thumb the z (that would be pretty standard orientation for a coordinate system).
If the x-axis comes straight out the front of the letter, then the z-axis would come straight out the top, and the y-axis straight out the side.
'A' does not have symmetry when rotated about the X-axis; it would be upside down. The other three do have symmetry.
'A' and 'N' do not have symmetry when rotated about the Y-axis; they would be upside down. The other two do have symmetry.
'N' does not have symmetry when rotated about the Z-axis; it would be backwards. The other three do have symmetry.
'X' and 'O' are the only two letters with symmetry about all three axes.
2006-06-06 05:58:26 · answer #1 · answered by Bob G 6 · 0⤊ 1⤋
The letter A.
2006-06-06 12:39:48 · answer #2 · answered by ALCHEMIST 1 · 0⤊ 0⤋
A does not have any rotational symmetry.
N has no rotational symmetry when rotated through 90 degrees.
2006-06-06 12:41:14 · answer #3 · answered by anna pavlova 2 · 0⤊ 0⤋
A doesn't. The others look the same if you rotate them 180 degrees.
2006-06-06 12:36:51 · answer #4 · answered by smartliketractor 4 · 0⤊ 0⤋
the letter A. depends on what rotation you're talking about.
2006-06-06 12:37:15 · answer #5 · answered by hotmomma23 5 · 0⤊ 0⤋
Letter: "A"
2006-06-06 12:38:19 · answer #6 · answered by vt_mom_2000 2 · 0⤊ 0⤋
A how about S Z I
2006-06-06 12:37:18 · answer #7 · answered by devisional 2 · 0⤊ 0⤋
A that is an easy one!!!
2006-06-06 12:37:27 · answer #8 · answered by foolnomore2games 6 · 0⤊ 0⤋
A doesn't
2006-06-06 12:37:57 · answer #9 · answered by chuchie 2 · 0⤊ 0⤋
none
2006-06-06 13:09:44 · answer #10 · answered by loving_u_4ever_n_always 1 · 0⤊ 0⤋