It can but it need not.
It has 5 sides It has 5 angles The sum of the interior angles is 540° All angles are not the same measure The sides may, or may not, all be the same length. It will not have line symmetry of 5 It has no rotational symmetry (called rotational symmetry of 1 when I was at school).
YES!!! THere are five lines of symmetry. From any one point to the centre of opposite side. If drawn accurately all five lines should pass through the centre.
a pentagon has 5 lines of symmetry
A general pentagon may have no symmetries at all. A regular pentagon has five symmetry axes - each one connecting a vertex with the middle of the edge opposite this vertex. A regular pentagon also has rotational symmetry - if you rotate it by any multiple of 72 degrees clockwise or anti-clockwise you get a regular pentagon as well. Please also see the related link below.
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.
The star can be turned by 72°. Why 72°? The star has five points. To rotate it until it looks the same, you need to make 1 / 5 of a complete 360° turn. Since 1/5 * 360° = 72°, this is a 72° angle rotation. So yes, a five point star has rotational symmetry. :D
it has five lines of symmetry
It can but it need not.
Their early larvae have bilateral symmetry, but as they get bigger they develop fivefold symmetry. This is apparent in the regular sea urchins, that have roughly spherical bodies, with five equally sized parts radiating out from their central axes.
It has 5 sides It has 5 angles The sum of the interior angles is 540° All angles are not the same measure The sides may, or may not, all be the same length. It will not have line symmetry of 5 It has no rotational symmetry (called rotational symmetry of 1 when I was at school).
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.
YES!!! THere are five lines of symmetry. From any one point to the centre of opposite side. If drawn accurately all five lines should pass through the centre.
Echinoderms have a radial symmetry, typically with five arms or multiples of five. This symmetry allows them to exhibit equal parts branching out from a central point, resembling a star shape.
because all of their legs and things are centered around a middle point :)
It has reflectional symmetry It has five lines of symmetry It is symmetrical
In general, no. But it can have one or five lines of symmetry.