What are the number of lines of symmetry and the order of rotation for this image? Let's walk through rotational symmetry examples to explain the concepts we described above. It's usually not the easiest to determine the angle just by looking at a shape, so we often use the order of rotational symmetry to describe rotational symmetry. What is the angle of rotation? The smallest angle that you'll need to get the square to look like the original square again is 90 degrees! That's because there's four sides to a square and 360 divided by 4 is 90 degrees. To do a full rotation, you'll be turning the square 360 degrees around. The smallest angle that obtains the first shape that has rotational symmetry to the original shape is called the angle of rotation. When carrying out rotational symmetry, you should always be rotating the shape from its center of rotation, rather than a point other than the center. The center of rotation is the center point that you rotate the shape from. If a shape has order 4 rotational symmetry, it means that when you rotate the shape all the way around till it lands back onto its original position, there's 4 times in which the shape looks the same. When you make a full rotation, the number of times the shape looks the same is called the order of rotational symmetry. Of course, there's more mathematical terms and concepts associated with it, and we'll explore them below. In its most basic explanation, rotation symmetry happens when a shape looks the same even after you rotate it.
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