Does a star have rotational symmetry. If we do look at the colors the symbol does not have rotational symmetry. Some people would say that the yin yang symbol has 2 fold rotational symmetry but has no color rotational symmetry. A square and a star also show rotational symmetry. A five point star is a two dimensional polygon in the shape of a star with five points.
In the case of paper windmill rotational symmetry is of order 4. Not all lines that divide a figure into two congruent parts are lines of symmetry. Returning to the example of a star a five legged starfish follows the same rules. Examples of rotational symmetry are found in everyday life.
Oops i lost count. The star can be turned by 72. If an object has rotational symmetry its center will also be its center of balance. If one was to spin a basketball on the tip of his finger the tip of his finger would be the center of the rotational symmetry.
The number of times a shape can be rotated and look the same within one full 360 rotation is called the order of the rotational symmetry and the angle at which it can be rotated to look the same is called the angle of rotation. A common misconception found even in many glossaries and texts. If you have a star fish it does have rotational symmetry because you can rotate the star fish 5 times and their still be symmetry. The star below has 5 lines of symmetry five lines on which it can be folded so that both sides match perfectly.
The number of turns given to an object to come back into its original position gives the order of rotational symmetry for that object. The star has five points. To rotate it until it looks the same you need to make 1 5 of a complete 360 turn. Another common example of rotational symmetry in nature is the flower.
In our discussions of patterns and their symmetry we tend to ignore the colors used. Therefore a star has 72 degrees of rotational symmetry. Since 15 360 72 this is a 72 angle rotation. A dartboard has rotational symmetry of order 10 the us bronze star medal has order 5 the london eye has order.
Rotational symmetry is determining whether a shape has symmetry when it is rotated from the center. The center of a shape or object with rotational symmetry is the point around which the rotation occurs. So yes a five point star has rotational symmetry. Yes a 5 point star has rotational symmetry.