The order of rotational symmetry of a circle is, how many times a circle fits on to itself during a full rotation of 360 degrees. Show A circle has an infinite 'order of rotational symmetry'. In simplistic terms, a circle will always fit into its original outline, regardless of how many times it is rotated. Therefore, A circle has infinite order of rotational symmetry Some More Examples on Order of Rotational SymmetryExample 1 : What is the order of rotational symmetry of an equilateral triangle? Solution : As explained in the definition, we have to check how many times an equilateral triangle fits on to itself during a full rotation of 360 degrees. Please look at the images of the equilateral triangle in the order A,B and C. A is the original image. The images B and C are generated by rotating the original image A. When we look at the above images of equilateral triangle, it fits on to itself 3 times during a full rotation of 360 degrees. So, an equilateral triangle has rotational symmetry of order 3. Example 2 : What is the order of rotational-symmetry of a square? Solution : Please look at the images of the square in the order A, B, C, D and E. A is the original image. The images B, C, D and E are generated by rotating the original image A. When we look at the above images of square, it fits on to itself 4 times during a full rotation of 360 degrees. So, a square has rotational symmetry of order 4. Example 3 : What is the order of rotational symmetry of a regular pentagon? Solution : Please look at the images of the regular pentagon in the order A, B, C, D, E and F. A is the original image. The images B, C, D, E and F are generated by rotating the original image A. When we look at the above images of regular pentagon, it fits on to itself 5 times during a full rotation of 360 degrees. So, a regular pentagon has rotational symmetry of order 5. Example 4 : What is the order of rotational-symmetry of a parallelogram? Solution : Please look at the images of the parallelogram in the order A, B and C. A is the original image. The images B and C are generated by rotating the original image A. When we look at the above images of parallelogram, it fits on to itself 2 times during a full rotation of 360 degrees. So, a parallelogram has rotational symmetry of order 2. Example 5 : What is the order of rotational symmetry of an isosceles triangle? Solution : Please look at the images of the isosceles triangle in the order A and B. A is the original image. The image B is generated by rotating the original image A. When we look at the above images of isosceles triangle, it fits on to itself 1 time during a full rotation of 360 degrees. So, an isosceles triangle has rotational symmetry of order 1. Example 6 : What is the order of rotational-symmetry of a scalene triangle ? Solution : Please look at the images of the scalene triangle in the order A and B. A is the original image. The image B is generated by rotating the original image A. When we look at the above images of isosceles triangle, it fits on to itself 1 time during a full rotation of 360 degrees. So, a scalene triangle has rotational symmetry of order 1. Example 7 : What is the order of rotational symmetry of a trapezium? Solution
: Please look at the images of the trapezium in the order A and B. A is the original image. The image B is generated by rotating the original image A. When we look at the above images of trapezium, it fits on to itself 1 time during a full rotation of 360 degrees. So, a trapezium has rotational symmetry of order 1. Example 8 : What is the order of rotational-symmetry of an isosceles trapezium? Solution : Please look at the images of the isosceles trapezium in the order A and B. A is the original image. The image B is generated by rotating the original image A. When we look at the above images of isosceles trapezium, it fits on to itself 1 time during a full rotation of 360 degrees. So, an isosceles trapezium has rotational symmetry of order 1. Example 9 : What is the order of rotational-symmetry of a kite? Solution : Please look at the images of the kite in the order A and B. A is the original image. The image B is generated by rotating the original image A. When we look at the above images of kite, it fits on to itself 1 time during a full rotation of 360 degrees. So, a kite has rotational symmetry of order 1. Example 10 : What is the order of rotational-symmetry of a rhombus? Solution : Please look at the images of the rhombus in the order A, B and C. A is the original image. The images B and C are generated by rotating the original image A. When we look at the above images of rhombus, it fits on to itself 2 time during a full rotation of 360 degrees. So, a rhombus has rotational symmetry of order 2. Example 11 : What is the order of rotational-symmetry of an ellipse? Solution
: Please look at the images of the ellipse in the order A, B and C. A is the original image. The images B and C are generated by rotating the original image A. When we look at the above images of ellipse, it fits on to itself 2 time during a full rotation of 360 degrees. So, an ellipse has rotational symmetry of order 2. Kindly mail your feedback to We always appreciate your feedback. ©All rights reserved. onlinemath4all.com How many rotations of symmetry does a circle have?In a complete turn (of 360°), the number of times. the figure that coincides with its original position is called its order of rotational symmetry. Ans. The order of rotational symmetry of a circle is 2.
Does a circle have rotational symmetry?A circle has rotation symmetry around the center for every angle. A circle has an unlimited number of angles of symmetry and the order of its rotation is infinite.
How many rotations are in a circle?A full rotation is 360 degrees. |