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: When a figure can be rotated (less than 360°)and still looks the sameway it did before : The point at which the figure is rotated around such that the rotational symmetry holds. the figure is rotated around such that : The point at which : A line that divides a figure into two congruent halves. : A line that divides : The number of degrees a figure is rotated so that it still looks the same. a figure is rotated so that it still : The number of degrees : A tiling over a plane with one or more figures such that the figures fillthe plane with overlapsno and This guide was created by Nicole Crawford, Jane Li, Amy Shen, and Zachary Shen, and Zachary Jane Li, Amy Nicole Crawford, created by This guide was learn more about the student authors, http://www.ck12.org/ Wilson. To about/ck-12-interns/. no gaps. rotation. ymmetry A regular tessellation is formed by congruent regular polygons. A regular tessellation is formed by two or more different regular polygons. A semiregular tessellation is formed by or more lines of symmetry has line symmetry. A figure can have one line of symmetry, several lines of symmetry, or no lines of symmetry. A figure or that no has lines one of linesA symmetry. several offigure symmetry, can one have line of symmetry, angles of rotation, multiply the angle of rotation by 1, 2, 3, ..., 1, 2, 3, ..., rotation by angles of rotation, multiply the angle of If a shape can be rotated Tessellations Symmetry Key Terms • • • Big Picture • If a shape does not tessellate by itself, another shape can be added so that the two shapes together will tessellate. itself, If a shape does not tessellate by In order to tessellate a shape, the the sum of the angles around each point must be 360°. There should be no gaps There 360°. be point must each around angles the of the sum the a shape, to tessellate In order or overlaps. Rotational Symmetry: Angle of Rotation Tessellation Lines of Symmetry: Line of Symmetry Symmetry Rotational Center of Rotation Symmetry Symmetry has a lot to do transformations. This means that some with symmetric figures don’t transformations, change after certain transformations. since An interesting symmetric shapes more or one by covered be can plane a is when Tessellation is tessellations. figurestransformations of application are often “immune” or gaps. overlaps to without any some types of S