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11–9 ReflectionsMAIN IDEA• Graph reflections on acoordinate plane.BUILD YOUR VOCABULARY (page 262)A reflection is the mirror image that is created when afigure isover a line.EXAMPLE Reflect a Figure Over the x-AxisTriangle ABC has vertices A(2, 4), B(0, 7), and C(−2, 2).Graph the figure and its reflected image over the x-axis.Then find the coordinates of the reflected image.Graph triangle ABC on acoordinate plane. Then countthe number of units betweeneach vertex and the x-axis.A isB isC isunits from the axis.units from the axis.units from the axis.Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.ORGANIZE ITUnder the Lesson 11-9tab of your Foldable,record what you learnabout reflecting figures.Include an example of areflection over the x-axisand a reflection over they-axis.Integersand®Transformations11-111-211-311-41-51-6Make a point for each vertexthe same distance away fromthebut on the opposite side and connect the newpoints to form the image of triangle A'B'C'. The coordinates areA' , B' , and C' .Check Your Progress△ DEF has verticesas shown. Graph itsreflected image overthe x-axis. Then findthe coordinates of thereflected image.yODFExMath Connects, Course 1 281