1.07 Rotations and Symmetry

Review: Use the tools to find the center of this transformation (rotation). Measure the angle of rotation

New topic! If you place the center of the rotation at the center of the figure and then rotate it, you can figure out if it has rotational symmetry. Question: Does a figure have rotational symmetry and line symmetry? Let's examine this.

Does the figure above have rotational symmetry? How do you know?

Does the figure above have line symmetry?

Draw the lines of symmetry in the figure below. Where do they intersect? Do you think all figures with rotational symmetry also have lines symmetry?

What is the order in the figure below? What is the angle of rotation? What are all of the angles of rotation?

What is the formula that you can use to find the angle of rotation in a regular polygon? What is the angle of rotation in a 8 sided regular polygon (octagon)? Now list all of the angles of rotation.

Does the figure below have rotational symmetry? Explain.

Does the figure below have rotational symmetry? What is the order in the figure below? What is the angle of rotation? What are all of the angles of rotation?