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Which transformations will carry a rhombus onto itself?

A rotation of 360 degrees around the origin of (0, 0) will carry a rhombus back onto itself.


Which rotation will carry a regular hexagon 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.


Does a regular pentagon have rational symmetry?

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.


Which transformation will always map a parallelogram onto itself?

A rotation of 360 degrees will map a parallelogram back onto itself.


Which transformation can map the letter S onto itself?

Rotation


What degree of rotation will cause the triangle below to map onto itself?

120


Is it possible for a quadrilateral to rotate onto itself in less than one-half rotation?

Yes. A square needs only a quarter rotation.


What is the rotation angle for a regular decagon that carries it onto itself?

It is 36k degrees where k is an integer.


What common transformation will map any parallelogram onto itself?

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.


How many letters in the alphabet have rotational symmetry?

A figure has rotational symmetry when it can rotate onto itself in less than a full rotation.


A regular 40 sided polygon is rotated with its center of rotation at its center. what is the smallest degree of rotation needed to map the polygon back onto itself?

At every 9 degree turn it will look the same then after 40 turns it will map back on itself.


How Many Degrees Would A Regular Decagon Need To Carry It Onto Itself?

It would require 36 degrees.