Q: What is a shape with five sides and one line of symmetry?

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polygon!

an irregular hexagon... __/\__ \ / \ / \ /

A kite.

The number of lines of symmetry in a polygon corresponds to the number of sides it has. If a polygon has n sides, then its symmetry will be n lines of symmetry and it will have one point of symmetry. A pentagon has five lines of symmetry, nonagon has 9, n-gon has n lines of symmetry, so on and so forth.

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.

Related questions

A pentagon

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.

a line of symmetry is the middle of a shape that is the same on both sides

Symmetry is dividing a shape or figure in a certain way so that both sides are the same. Usually the line of symmetry, the line separating the shape, is a straight line.

a trapazoid

polygon!

A quadrilateral is a shape with four sides.

its called a line of symmetry,or just plain symmetry.

an irregular hexagon... __/\__ \ / \ / \ /

square...........................

Yes. Think of a kite shape. Symmetry along its length but no parallel sides.

A kite.