50 degrees
five lines of symmetry :)
A regular pentagon or a 5-pointed star have rotational symmetry of order 5.
5
Assuming it is regular, there should be 6 lines of symmetry, three running from a tip to the tip opposite it, and three through the points that the tips meet.
it has five lines of symmetry
50 degrees
A 5 point star has 5 lines of symmetry.
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
yes
five lines of symmetry :)
five do the math But only if it is a 5-pointed star, not a 6-pointed star (like the star of David, for example). So doing the math requires counting the number of points in the star before getting to the put downs!
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.
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.
Five
A regular pentagon or a 5-pointed star have rotational symmetry of order 5.
It can do - of order 7.