###### Asked in Math and ArithmeticGeometry

Math and Arithmetic

Geometry

# Are all lines of symmetry straight?

## Answer

###### Wiki User

###### August 27, 2013 3:39AM

Yes.

## 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.

###### Asked in Geometry

### Which has more lines of symmetry a square or an rectangle?

All squares are rectangle, but not all rectangles are
square.
The expected answer is "a square" ...
A square has 4 lines of symmetry. A rectangle that is not a
square has 2 lines of symmetry. However, the question is ambiguous.
Since a square is a rectangle you can say that some rectangles have
4 lines of symmetry. A better question is, "Which has more lines of
symmetry; a square, or a rectangle that is not a square?"

###### Asked in Geometry, Math and Arithmetic, Mathematical Finance, Statistics

### Show three lines of symmetry?

If your asking what shape has three lines of symmetry, your
answer would be an equilateral triangle. You can tell how many
lines of symmetry a shape that has all angles of the same measure
has by looking at it's angles. Ex., pentagon has five angles--five
lines of symmetry; octagon has eight angles, eight lines of
symmetry; etc.