These worksheets introduce your beginning geometry students to the concept of rotational symmetry using pictures.

What is Rotational Symmetry? Like many other definitions that are present in math, here is another one! Do you know what symmetry means? That's quite alright, we will tell you! Symmetry is present in many areas of math. It is originated from a Greek word that means to measure together. Symmetry is most commonly applied when we are studying geometry. Now, let's take a look at what it is! In simple words, the property of an object to be similar when it is divide into two is known as symmetry. When one shape becomes exactly like the other, when changed in some way, slid, turned or flipped, the property is known as symmetry. Objects can only be symmetrical if the object when they have the same shape and size. For example, if you were to divide your face in half, the two halves would be perfectly symmetrical. However, not all objects have symmetry. When an object is not symmetrical, it is known as asymmetric. Another type of symmetry is called rotational symmetry or radial symmetry. This type of symmetry is defined as the property of a shape to looks the same after some rotation by a partial turn. The object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation.

Figures have rotational symmetry if it looks the same after a bit of rotation or partial turning. The order is the number of positions in which it looks the same. If you rotate a four-leaf clover, it will look the same at four positions, so it has an order of four. This set of practice worksheets will ask you to evaluate if an object has rotational symmetry and if so, define the order. You will also have access to lessons below. These worksheets explain rotational symmetry. Your beginning geometry students will use these activity sheets to learn the definitions of line and glide reflections.

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Print Rotational Symmetry Worksheets

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Rotational Symmetry Lesson

This worksheet explains rotational symmetry. A sample problem is solved, and two practice problems are provided.


Students will write the order in which the rotational symmetry appears. Ten problems are provided.

Rotational Symmetry Practice Worksheet

Students will analyze these images and determine the how rotational symmetry is approached by their perspective. Ten problems are provided.

Review and Practice

We show you this example: :The figure is the image of itself under a rotation at 180 degrees. Order is 1. Six practice problems are provided.

Rotational Symmetry Quiz

Students will demonstrate how well the can handle these types of problems. Ten problems are provided.

Skills Check

Students will breakdown the order of rotational symmetry and clarify this to their teachers. This should be done in a full group setting. Three problems are provided, and space is included for students to copy the correct answer when given.