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A figure has rotational symmetry when it can rotate onto itself in less than a full rotation.
It is a dodecahedron, and you can see images at the link below. Drawing it, though, depends on your artistic skill at projecting 3-d images onto 2-d.
100 can go into 100 exactly 1 time, as dividing a number by itself results in a quotient of 1. In mathematical terms, 100 divided by 100 equals 1.
60 degrees. You find this by taking 360 and dividing by the total sides (6) which leaves you with the degrees of the exterior angles, this exterior angle is how little you can rotate any polygon for that matter.
Well, darling, a British flag has a whopping one count of rotational symmetry. It can be rotated 180 degrees and still look the same. So, if you're ever feeling turned around, just remember that the Union Jack keeps it simple with just one way to spin it and win it.
A rotation of 360 degrees around the origin of (0, 0) will carry a rhombus back onto itself.
A regular hexagon can be carried onto itself by rotations of 60 degrees, 120 degrees, 180 degrees, 240 degrees, and 300 degrees around its center. These rotations correspond to the multiples of 60 degrees, which are the angles formed by the vertices of the hexagon. Additionally, a 0-degree rotation (no rotation) also carries the hexagon onto itself.
A regular pentagon has rotational symmetry but does not have rational symmetry. Rational symmetry refers to the property of a shape that can be divided into equal parts by rotations that are fractions of a full rotation (e.g., 1/2, 1/3). Since a regular pentagon can only be rotated by 72 degrees (1/5 of a full rotation) to map onto itself, it does not exhibit rational symmetry.
A rotation of 360 degrees will map a parallelogram back onto itself.
Rotation
120
Yes. A square needs only a quarter rotation.
It is 36k degrees where k is an integer.
A common transformation that will map any parallelogram onto itself is a rotation by 180 degrees about its center. This rotation preserves the shape and size of the parallelogram while repositioning it in such a way that every vertex moves to the location of the opposite vertex. Additionally, reflections across the diagonals or the midpoints of opposite sides also map the parallelogram onto itself.
A figure has rotational symmetry when it can rotate onto itself in less than a full rotation.
At every 9 degree turn it will look the same then after 40 turns it will map back on itself.
It would require 36 degrees.