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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.
How you draw a 3d shape pentagon?
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.
How many times can 100 go onto 100?
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.
What is the smallest angle through which you can rotate a regular hexagon onto itself?
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.
How much rotational symmetry does a british flag?
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.
Which regular polygon when rotated 72 degrees will carry the polygon onto itself?
The regular pentagon is the polygon that will carry itself onto itself when rotated by 72 degrees. This is because a pentagon has five equal sides and angles, and a rotation of 72 degrees corresponds to one-fifth of a complete turn (360 degrees). Each rotation by this angle aligns one vertex with the position of the next vertex, maintaining the polygon's symmetry.
What is smallest number of degrees needed to rotate a regular pentagon around its center onto itself?
The smallest number of degrees needed to rotate a regular pentagon around its center onto itself is 72 degrees. This is because a regular pentagon has five sides, and a full rotation is 360 degrees. Dividing 360 by 5 gives you the angle of rotation that maps the pentagon onto itself, which is 72 degrees.
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 regular polygon has a minimum rotation of 45 to carry the polygon onto itself?
The regular octagon is the polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself. An octagon has 8 sides, and when rotated by 360 degrees, it can be divided into 8 equal parts, resulting in a 45-degree rotation for each part. Thus, a rotation of 45 degrees maps the octagon 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.
What rotation will carry a regular hexagon onto itself?
A regular hexagon can be rotated onto itself by multiples of 60 degrees. Specifically, the rotations that will carry the hexagon onto itself are 0 degrees, 60 degrees, 120 degrees, 180 degrees, 240 degrees, and 300 degrees. These rotations correspond to the hexagon's vertices, allowing it to align perfectly with its original position.
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
Which trasformation will always map a parallelogram onto itself?
A transformation that will always map a parallelogram onto itself is a rotation by multiples of 180 degrees around its center. This rotation preserves the lengths of the sides and the angles, maintaining the shape and position of the parallelogram. Additionally, reflections across the lines of symmetry or the diagonals will also map a parallelogram onto itself.
Is it possible for a quadrilateral to rotate onto itself in less than one-half rotation?
Yes. A square needs only a quarter rotation.
