There are 6 angles between neighbour vertices, they all are equal (because a hexagon is regular) and their sum is 360°. Thus each angle has a measure of 360°/6=60°. Each subsequent rotation by 60° also maps a hexagon onto itself.
Q. Does a regular hexagon have rotational symmetry?
The order of symmetry is the number of times the figure coincides with itself as its rotates through 360° . Example: A regular hexagon has rotational symmetry. The angle of rotation is 60° and the order of the rotational symmetry is 6 .
Table of Contents
- Q. Does a regular hexagon have rotational symmetry?
- Q. How many times can a hexagon rotate?
- Q. Does a rotation of 258 about the center map the regular hexagon onto itself?
- Q. Does a rotation of 180 ∘ about the center map the regular hexagon onto itself?
- Q. What is rotational symmetry of a hexagon?
- Q. What is the minimum number of degrees of rotational symmetry?
- Q. What figure has a 90 degree rotational symmetry?
- Q. Which figure has an angle of rotation of 180 degree?
- Q. Is 180 clockwise the same as 180 counterclockwise?
Q. How many times can a hexagon rotate?
The hexagon can be rotated six times.
Q. Does a rotation of 258 about the center map the regular hexagon onto itself?
Answer Expert Verified The hexagon will map onto itself 6 times. It will turn through angles : 60°, 120°, 180°, 240°, 300° and 360°.
Q. Does a rotation of 180 ∘ about the center map the regular hexagon onto itself?
When a hexagon maps onto itself, their vertices must map to vertices and sides to sides. Each subsequent rotation by 60° also maps a hexagon onto itself. There are 5 such rotations: by 60°, 120°, 180°, 240° and 300° (the next is 360° which isn’t allowed by the conditions). So the answer is 5.
Q. What is rotational symmetry of a hexagon?
Order 6
Q. What is the minimum number of degrees of rotational symmetry?
360
Q. What figure has a 90 degree rotational symmetry?
rotation) symmetry, and a square has -turn (or 90-degree) rotation symmetry.
Q. Which figure has an angle of rotation of 180 degree?
Many geometrical shapes appear to be symmetrical when they are rotated 180 degrees or with some angles, clockwise or anticlockwise. Some of the examples are square, circle, hexagon, etc. A scalene triangle does not have symmetry if rotated since the shape is asymmetrical.
Q. Is 180 clockwise the same as 180 counterclockwise?
Answer and Explanation: Yes, the formula for a 180° rotation about the origin is the same for both clockwise and counterclockwise.
