###### Asked in Math and ArithmeticAlgebraGeometry

Math and Arithmetic

Algebra

Geometry

# What has a single line of symmetry?

## Answer

###### TechMan

###### 1 day ago

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.

## Related Questions

###### Asked in Math and Arithmetic, Geometry

### How many lines of symmetry does LINES have?

If the question refers to a single completely geometrically
straight line of finite length in a plane, then a straight line
will have two lines of symmetry. One symmetry line is perpendicular
to the line being discussed and one symmetry line coincides with
the line being discussed.
The symmetry operation here is the one where every point of the
figure is flipped perpendicularly across the symmetry line and the
object is symmetric if that flipping produced exactly the same set
of points. (Said differently, if flipping the set of points through
a line produced an exact replica of the original set of points,
then the like determining the flip is a symmetry line.)
One level of complication occurs if the straight line which is
the subject of the symmetry question is an infinitely long straight
line. In such a case one symmetry line still coincides with the
actual line, but all lines that are perpendicular to the straight
line will be lines of symmetry. Thus, an infinitely long straight
line has no single point as its "middle" and has an infinitely many
symmetry lines consisting of all possible lines perpendicular to
the original line.