GPA Math 90: 7.5 - Reflections and Line Symmetry Notes What is symmetry? An object or image has symmetry if it is balanced and can fit onto itself either by __________ _________________________________________________________. How many lines of symmetry does this pentagon have? _________ line of symmetry. AG divides it into _______ congruent pairs. Also, each point on one side of the line of symmetry has a _________________ on the other side of the line. These two points are the ____________________, or __________________________________ from the line of symmetry. A line of symmetry is also called a ____________________. Think of the line as a mirror. The original image and the reflection make one larger shape but are also mirror images of each other. Thus a line of __________________ is also a _____________________. Example 1 - Identifying Lines of Symmetry in Tessellations A tessellation is a pattern or arrangement that covers an area or plane without overlapping or leaving gaps. It can also be called a tiling pattern. How many lines of symmetry? 1 GPA Math 90: 7.5 - Reflections and Line Symmetry Notes How many lines of symmetry? Example 2 - Identifying Shapes Related by a Line of Symmetry Identify the triangles that are related to the shaded triangle by a line of reflection. 2 GPA Math 90: 7.5 - Reflections and Line Symmetry Notes Example 3 - Completing a Shape Given it's Line of Symmetry Quadrilateral ABCD is part of a larger shape. We will draw the shape after each reflection stated. We will also write the coordinates of all of the points of the larger shape formed by ABCD and its image. a) A reflection in the horizontal line through 12 on the y-axis. Each image point is the same distance from this line as the corresponding original point 3 GPA Math 90: 7.5 - Reflections and Line Symmetry Notes b) a reflection in an oblique line through (11,14) and (3,6). Assignment: Assignment Due: 4