true
False
The rectangle's rotational symmetry is of order 2. A square's rotational symmetry is of order 4; the triangle has a symmetry of order 3. Rotational symmetry is the number of times a figure can be rotated and still look the same as the original figure.
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.
The order of rotational symmetry for a circle is infinite. This is because it can be rotated any amount from the middle and it will still look the same. You can use a special sign to show this: ∞
False
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true
false
No. Objects can have reflective symmetry but no rotational symmetry.
No, a parallelogram does not have rotational symmetry because it cannot be rotated onto itself. Rotational symmetry requires an object to look the same after being rotated by a certain angle.
Yes. An object with rotational symmetry is one that looks the same after a certain amount of rotation.
False
Reflectional symmetry
Rotational symmetry is the amount of symmetry you would have if you rotated the shape.
Its order of rotational symmetry.
This is the definition of "rotational symmetry", or if the statement is true for any number of degrees of rotation it is also "circular symmetry.".
It only has rotional symmetry if it can be rotated around a point less than 360 degrees and staying the same shape like if you rotate a square 90 degrees it will be the same shape as in the beginning.. Kind of confusing