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Lines of reflection symmetry8/7/2023 ![]() Place your pencil in the centre of the shape and rotate the paper a full turn without moving the shape below.Place the tracing paper over the shape.To find the order of rotational symmetry with tracing paper: The first symmetry is the position of the original shape and the second symmetry is the shape upside down after a rotation of 180°. The diagram above shows the two rotational symmetries of this shape. This is when it fits into its original outline. Step 2 is to count the number of times the shape looks the same as before it was rotated. Step 1 is to rotate the shape around one full turn. This number is the order of rotational symmetry.įor example, find the order of rotational symmetry for this shape.As it rotates, count the number of times the shape looks the same as before it was rotated.To find the order of rotational symmetry: How to Find the Order of Rotational Symmetry Otherwise we would continue to count onwards forever. Once the shape has returned to its original position, we stop. We only count rotational symmetry over one full turn. Here are two different rectangles with both rotational symmetries shown. We can see that a rectangle always has rotational symmetry of order 2. When it is turned 180° and 360° it looks the same as when it is at its starting position. ![]() For example, a rectangle has rotational symmetry of order 2. The shape must look as though it has not rotated at all. The order of rotational symmetry (or degree of rotational symmetry) is the number of times an object looks the same when it is rotated a full turn of 360°. What is the Order of Rotational Symmetry? We can see that the only time that the kite matches its outline is when it has not been rotated. Shapes with no rotational symmetry have rotational symmetry order 1. A shape with no rotational symmetry only fits into its original outline once. When a shape demonstrates rotational symmetry, it looks like it has not been rotated at all.Ī kite is an example of a shape with no rotational symmetry. The outside of the shape looks the same in the 4 different positions. We can see that a square can be rotated to 4 different positions and look the same. For example, a kite has no rotational symmetry.īelow is a square showing rotational symmetry. A shape does not have rotational symmetry if it does not look the same when rotated. For example, a square will look the same when it is rotated a quarter turn. Rotational symmetry is when an object has been rotated but it looks like it is in its original orientation.
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