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Mathematics 12 Online
b1az34:

The regular hexagon below is centered at the origin. It is rotated clockwise around the origin through an angle of k° For which of the following values of k will the image be identical to the original hexagon? Choose all that apply. 120 60 360 180

b1az34:

1 attachment
jhonyy9:

then you rotate a hexagon by how many degree angles you will get hexagon too ?

b1az34:

If I rotate (-2, 4) by 60° the point (-2, 4) replaces (2, 4). Now to get this point (-2, 4) back to its original position hexagon should be rotated by six times of 60° (6×60°= 360°). is this correct

jhonyy9:

you dont answered my question

b1az34:

360

b1az34:

ho wait Each subsequent rotation by 60°

jhonyy9:

ok then you rotate it 60 degree what will get ? then you rotate it by 120 degree what will get ? then you rotate it by 180 degree what will get please continue !

b1az34:

@jhonyy9 wrote:
ok then you rotate it 60 degree what will get ? then you rotate it by 120 degree what will get ? then you rotate it by 180 degree what will get please continue !
A hexagon

jhonyy9:

exactly so what result from these cases ?

jhonyy9:

do you understand ? then you rotate a hexagon by an angle multiplie of 60 degrees you will get always a hexagon yes ?

b1az34:

yes now ik

jhonyy9:

ok have a nice day

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