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Q: Why do some triangles don't have lines of symmetry?
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Does a triangle have zero lines of symmetry?

There are different kinds of triangles, some are symmetrical and some aren't.


What shapes have 3 lines of symmetry?

Only equilateral triangles and some irregular polygons of (3n) sides have 3 lines of symmetry. A regular polygon with n sides (or vertices) has n lines of symmetry. If n is even, there are n/2 lines of symmetry from vertex to opposite vertex and another n/2 from the middle of a side to the middle of the opposite side. If n is odd, there are n lines of symmetry from vertex to the midpoint of the opposite side.


Do triangle contain line of symmetry?

Some triangles do have a line of symmetry. Equilateral and Isosceles triangles have a line of symmetry. If you can fold a triangle into two equal halves, the folding line is a line symmetry.


What shapes don't have lines of symmetry besides circles and ovals?

Circles and Ovals DO have lines of symmetry: a circle has an infinite number of them (each is a diameter of the circle) and an oval (ellipse) has two (one along the major axis, one along the minor axis). Shapes which have no lines of symmetry are irregular ones, eg scalene triangles, along with most parallelograms (ie parallelograms which are not rhombuses) and non-isosceles trapezia. Some irregular shapes can have lines of symmetry, eg irregular octagons can have 1, 2 or 4 lines of symmetry as well as no lines of symmetry, unlike a regular octagon which [always] has 8 lines of symmetry.


Can a quadrilateral have two lines of symmetry?

Yes. Some example of this are:Rectangles (at least 2 lines of symmetry)Squares (4 lines of symmetry)Rhombuses (at least 2 lines of symmetry)


How many lines of symmetry has a square?

Some people make the mistake of thinking a square has 8 lines of symmetry, however it actually has 4 lines of symmetry. An equilateral triangle has 3 lines of symmetry.


Are all quadrilaterals symmetrical?

Not all 4 sided quadrilaterals have lines of symmetry although some of them do have lines of symmetry.


Do irregular octagons have lines of symmetry?

They may have no lines of symmetry or they may have some - it all depends upon the shape of the irregular octagon. Only regular octagons have 8 lines of symmetry.


Shape with no symmetry?

Some shapes that fit that condition are parallelograms, scalene triangles, and trapezoids.


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?"


How many quadrilaterals have lines of symmetry?

Types of quadrilaterals that have lines of symmetry: squares, rectangles, some rhombuses (standard diamond shape), boomerang shape, and trapezoids.


Does a starfish have any symmetry?

Starfish tend to have pentamerous radial symmetry. In other words, the typical starfish has five lines of symmetry throughout their body. Some species have more lines because they have more arms.