An equilateral triangle, and all regular polygons with 3n sides.
rectangle has inversion (180 deg rotation) hexagon has 60 deg ratation, cyclic group genterated is 60, 120, 180, 240, 300, 360=0 equilateral triangle has 120 deg rotation, cyclic group genterated is 120, 240, 360=0
120 degreesa hexagon is a 36 degree shape
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No - a pentagon has 120 degree rotational symmetry.
Yes; a three leaf clover has rotational symmetry.
Fractions of rotational symmetry refer to the divisions of a complete rotation (360 degrees) that result in identical appearances of an object when rotated. For example, a shape with rotational symmetry of order 3 will look the same after a rotation of 120 degrees (360°/3). Common fractions include 1/2 (180 degrees), 1/3 (120 degrees), and 1/4 (90 degrees). The order of symmetry indicates how many times the shape matches itself in one full rotation.
The angle of rotational symmetry for a shape with an order of 3 is calculated by dividing 360 degrees by the order. Therefore, 360 degrees ÷ 3 equals 120 degrees. This means the shape can be rotated by 120 degrees, 240 degrees, or 360 degrees (which brings it back to the original position) and still look the same.
A cube has 3-fold rotational symmetry, meaning it can be rotated by 120 degrees and still look the same. It does not have 5-fold rotational symmetry because the cube's faces are not oriented in a way that allows for that type of symmetry. The angles between the faces do not align with the requirements for 5-fold rotational symmetry.
A two-fold symmetry has a 360 degrees rotation. A three-fold rotational symmetry, on the other hand, has 120 degrees, and on a horizontal axis, a symmetry has 180 degrees.
Triangles generally do not have rotational symmetry order 3, as only equilateral triangles possess this property, allowing them to look the same after a 120-degree rotation. Other types of triangles, such as isosceles and scalene, typically have rotational symmetry order 1, meaning they do not look the same after any rotation other than a full 360 degrees. Therefore, the answer depends on the type of triangle being considered.
A delta, or equilateral triangle, has 3 rotational symmetries. These occur at rotations of 0 degrees (the original position), 120 degrees, and 240 degrees. Each rotation aligns the triangle with its original shape, demonstrating its symmetry.
Yes, both triangles and squares have lines of symmetry and rotational symmetry. An equilateral triangle has three lines of symmetry and a rotational symmetry of order 3, meaning it can be rotated by 120 degrees and still look the same. A square has four lines of symmetry and a rotational symmetry of order 4, allowing it to be rotated by 90 degrees and still appear unchanged. Other types of triangles and quadrilaterals may have different numbers of symmetries based on their specific shapes.
An equilateral triangle.
An equilateral triangle has three orders of rotational symmetry. This means it can be rotated by 120 degrees, 240 degrees, and 360 degrees (a full rotation) and still appear the same. Each of these rotations corresponds to one of the triangle's vertices being in the original position. Thus, the triangle maintains its shape and orientation through these rotations.
Turn it through 120 or 240 degrees (one third or two thirds of a circle).