60 degrees
Yes
Rotate 360 degrees
No. A rectangle rotates into itself at kπ radians where k is an integer - ie half a turn and its multiples.
reflect across the x-axis and then reflect again over the x-axis
yes * * * * * No! A rectangle rotates into itself at kπ radians where k is an integer - ie half a turn and its multiples.
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.
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.
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 equal sides and angles, so it can be rotated by 360 degrees divided by 5, which equals 72 degrees, to achieve the same orientation.
Oh, dude, a regular hexagon has six sides, so it has six lines of symmetry. Each line of symmetry represents a different way you can rotate the hexagon and have it look the same. So, the order of rotational symmetry for a regular hexagon is 6. Like, it's symmetry, but make it hexagonal.
Yes
You can rotate it through any angle of your choosing.
yes it does. If you were to rotate a hexagon it would match up 6 times.
A regular decagon can rotate onto itself at angles that are multiples of ( \frac{360^\circ}{10} ), which is ( 36^\circ ). This means it can rotate by ( 0^\circ ), ( 36^\circ ), ( 72^\circ ), ( 108^\circ ), ( 144^\circ ), ( 180^\circ ), ( 216^\circ ), ( 252^\circ ), ( 288^\circ ), and ( 324^\circ ). In total, there are 10 distinct angles (including ( 0^\circ )) at which the decagon can map onto itself.
No, the atmosphere does not rotate with the Earth. The Earth's rotation causes the atmosphere to move with it, but the atmosphere itself does not rotate independently.
A regular pentagon has five sides, and its symmetry can be achieved by rotating it around its center. The smallest angle for such a rotation is 72 degrees, which is calculated by dividing 360 degrees by the number of sides (360°/5 = 72°). This rotation aligns one vertex with the position of the next vertex, maintaining the pentagon's symmetry.
Yes
Cut a straight line segment. At its end, rotate the paper in the scissors and make another straight cut. From the end of the second line, again rotate the paper and keeping ways from the earlier cuts, make yet another straight cut. Repeat for the fourth and fifth cuts. Then, rotate and cut, but this time finishing somewhere on the first line segment. You will have cut a shape with six straight sides: a hexagon.