The rotational symmetry of 180° about the origin: Yes, and the rotational symmetry of 270° about the origin: No.
What is geometric transformation?
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a parallelogram, shown in the picture.
As we can see,
If a figure continues to look the same after a certain turn, it is rotationally symmetrical.
The parallelogram must be examined to see whether it exhibits rotational symmetry at 180° or 270°. Imagine the figure rotating a certain number of times to determine whether or not it remains the same.
Thus, the rotational symmetry of 180° about the origin: Yes, and the rotational symmetry of 270° about the origin: No.
Learn more about the geometric transformation here:
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