Q: Can a irregular hexagon have one line of symmetry?

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A hexagon need not have any lines of symmetry. Or, it can have just one line of symmetry. A regular hexagon has six lines of symmetry, including three along the lines bisecting the angles and three along the lines formed by bisecting the sides. A regular hexagon has a rotational order of 6.

It could be an irregular hexagon: for example, a regular hexagon that has been stretched along one diagonal.It could be an irregular hexagon.

There could be many answers to this. If were thinking in terms of geometry: a triangle has between 1 and 3 lines of symmetry a square will always have 4 lines of symmetry. Irregular shapes might have a single line of symmetry. For instance, a building may have a single line of symmetry. a line between two points may only have one line of symmetry. because it is only 2 dimensions, it is impossible for it to have more than one line of symmetry.

It is difficult to illustrate the answer but I'll try a description. Start with a regular hexagon. All sides equal, all angles equal, six lines of symmetry. Squash the top down so that the middle vertices spread outwards. You will now have a shape with two lines of symmetry: one horizontal: halfway up the hexagon and one vertical: halfway across. Now take a chunk out of the middle of the top (or bottom, but not both) side and re-join the ends. That will get rid of the horizontal line of symmetry and all you are left with is the one vertical line.

A regular hexagon has three pairs of parallel sides. An irregular hexagon can have two, one or none.

Related questions

A hexagon need not have any lines of symmetry. Or, it can have just one line of symmetry. A regular hexagon has six lines of symmetry, including three along the lines bisecting the angles and three along the lines formed by bisecting the sides. A regular hexagon has a rotational order of 6.

A hexagon need not have any lines of symmetry. Or, it can have just one line of symmetry. A regular hexagon has six lines of symmetry, including three along the lines bisecting the angles and three along the lines formed by bisecting the sides. A regular hexagon has a rotational order of 6.

Two trapezoids

Yes, a regular hexagon has ALL sides the same length and ALL angles equal. If you flatten it somewhat (like the profile of a lens) then the sides may still have the same length but some angles will be larger than others if opposite angles are the same than there will be symmetry. (there are many other options to retain symmetry in a hexagon this is but one)

No.It is regular because it has at least one line of symmetry

It could be an irregular hexagon: for example, a regular hexagon that has been stretched along one diagonal.It could be an irregular hexagon.

An irregular hexagon.

There could be many answers to this. If were thinking in terms of geometry: a triangle has between 1 and 3 lines of symmetry a square will always have 4 lines of symmetry. Irregular shapes might have a single line of symmetry. For instance, a building may have a single line of symmetry. a line between two points may only have one line of symmetry. because it is only 2 dimensions, it is impossible for it to have more than one line of symmetry.

It is difficult to illustrate the answer but I'll try a description. Start with a regular hexagon. All sides equal, all angles equal, six lines of symmetry. Squash the top down so that the middle vertices spread outwards. You will now have a shape with two lines of symmetry: one horizontal: halfway up the hexagon and one vertical: halfway across. Now take a chunk out of the middle of the top (or bottom, but not both) side and re-join the ends. That will get rid of the horizontal line of symmetry and all you are left with is the one vertical line.

Yes. Since it is irregular, it could have 5 identical halves. * * * * * No it cannot have 5 identical halves. If it has 5 then the sixth must also be equal to one of the others. You can have 0 to 4, or 6 but NOT 5,

A regular hexagon has three pairs of parallel sides. An irregular hexagon can have two, one or none.

If divided by a vertex-to-vertex line, it is an isosceles trapezium. If divided by a line from one side to the opposite side, it will make an irregular pentagon.