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If a trapezoid has rotational symmetry what is the angle of rotation?
A "pure" trapezoid (a pair of parallel sides and two random sides) does not have rotational symmetry. If it is a parallelogram then it has a 180 degree symmetry. And if the paralloelogram happens to be a square, you have 90 deg symmetry.
Does a regular polygon have rotational symmetry?
Yes, because if a regular polygon is turned around a specific point (the angle of rotation) and matches up again, it has rotation symmetry. For example, a hexagon is a regular polygon with six sides. All sides are the same length and the same size. When you turn it around the angle of rotation, it matches with the next side. Therefore, all regular polygons have rotational symmetry. Hope this helps!
How many axes of rotational symmetry does a rectangular pyramid have?
It depends upon the pyramid: if it is a right rectangular pyramid it will have one axis of rotational symmetry which runs from the apex to the centre of the base and a rotational symmetry of 2. If it is not a right rectangular pyramid then there is no axis of rotation which will permit the pyramid to fit on itself before a complete rotation of 360°
Does a crescent have rotational symmetry?
Oh, what a lovely question! A crescent shape does indeed have rotational symmetry. If you were to turn it around its center point, it would look the same at certain angles. Isn't that just a happy little discovery?
What figure has rotational symmetry but not line symmetry?
A figure that has rotational symmetry but not line symmetry is a figure that can be rotated by a certain angle and still look the same, but cannot be reflected across a line to create a mirror image of itself. An example of such a figure is a regular pentagon, which has rotational symmetry of 72 degrees but does not have any lines of symmetry. This means that if you rotate a regular pentagon by 72 degrees, it will look the same, but you cannot reflect it across any line to create a mirror image.
