Q: What shape has one line of symmetry but rational symmetry of order none?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

A symmetrical shape is said to have line symmetry. A shape that has line symmetry can have one or more lines of symmetry

A line segment would have rotational symmetry.

Yes. Any equilateral shape can have both rotational and line symmetry.

The triskelion (the three legs) on the Isle of Man flag.

A triangle has symmetry.

Related questions

None, since there is no such thing as rational symmetry.

A symmetrical shape is said to have line symmetry. A shape that has line symmetry can have one or more lines of symmetry

a shape with a line of symmetry

A line segment would have rotational symmetry.

Yes. Any equilateral shape can have both rotational and line symmetry.

A shape does NOT need to have line symmetry in order to have rotational symmetry.For example, the letters N, Z and S can be rotated 180° to show symmetry, but none of these show line symmetry.When the folded part Line of Symmetry. Here I have folded a rectangle one way, and it didn't work.

The triskelion (the three legs) on the Isle of Man flag.

A triangle has symmetry.

The line of symmetry in a shape is found be looking at the sides of the shape. If you see that two sides look the same, try to draw a straight line through them. The line of symmetry acts like the dotted line in which you fold you paper. If you can fold the shape across the line of symmetry, and the shape is exactly the same on both sides then you have found A line of symmetry.

circle

A semicircle.

When a shape is rotated about its centre, if it comes to rest in a position and looks exactly like the original, then it has rotational symmetry. A shape like an equilateral triangle would therefore have an order of rotational symmetry of 3. The general rule for a regular polygon (shapes such as pentagons, heptagons, octagons etc. is, that the number of sides is the same as the number of lines of symmetry, which is also the same as the rotational symmetry order). This means that a regular hexagon has 6 sides, 6 lines of symmetry and an order of rotational symmetry of 6. Following from this, then a square, which is a regular polygon, has 4 sides, 4 lines of symmetry and an order of rotational symmetry of 4. If a shape has rotational symmetry, it must have either line symmetry or point symmetry or both. For example, a five pointed star has 5 lines of symmetry and rotational symmetry of order 5, but does not have point symmetry. A parallelogram has no line of symmetry, but has rotational symmetry of order 2 and also point symmetry. Only a shape which has line symmetry or point symmetry can have rotational symmetry. When there is point symmetry and also rotational symmetry, the order of the latter is even. For example, the letter 'S' has rotational symmetry of order 2, the regular hexagon of order 6. On this basis, we would suggest that the letter 'F' does not have a rotational symmetry order as it does not have either line symmetry or point symmetry. It doesn't have a centre around which you could rotate it. Sounds weird, but given the definitions, we think this is the case.