![]() ![]() For example in a trapezoid, there are no lines of symmetry and so the order of reflective symmetry is 0. The order of rotational symmetry is not always the same as the order of reflective symmetry. There is one line of reflective symmetry going through the middle. In the kite below, the kite only fits into itself once and so, the order of rotational symmetry is 1. The reflective symmetry is also order 3 because there are 3 mirror lines of symmetry. ![]() In the triangle below we can see that the rotational symmetry is order 3 because the triangle can fit into its original shape 3 times when rotated. The order of rotational symmetry is not the necessarily the same as the order of reflective symmetry. Reflective symmetry (or line symmetry) is the number of lines of symmetry pass through the centre of the shape so that both sides of the line look the same. Rotational symmetry is how many times a shape fits into its original image when rotated a full turn. What is the Difference Between Rotational and Reflective Symmetry? The letter O is also longer than it is wide and does not look exactly the same when rotated 90 degrees. It may look like X has a rotational symmetry of order 4, however, it is slightly longer than it is wide and it does not look the same when rotated 90 degrees. Below we can see the letters of H, I, N, S and Z, which all have rotational symmetry order 2.īoth of the capital letters O and X also have order of rotational symmetry 2. The only letters of the alphabet with rotational symmetry are H, I, N, O, S, X and Z. All of the other capital letters of the alphabet have no rotational symmetry. These letters all have rotational symmetry order 2 because they look the same after rotating half a turn and a full turn. Letters of the Alphabet with Rotational SymmetryĬapital letters of the alphabet with rotational symmetry are : H, I, N, O, S, X, Z. This triangle matches up 3 times and so, the order of rotational symmetry is 3. Then rotate the paper a full turn, counting the number of times that the drawing matches the shape below.
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