Page 70 - Math Course 2 (Book 2)
P. 70

Transformations in Geometry





          MO. 9 - L1b                                                    Let’s Begin

                    Transformations:

              Reflections and Dilations
                                                           Reflections in a Coordinate Plane

                     Vocabulary A-Z                           Example

                     Let us learn some vocabulary

                                                           The vertices of a figure are M(–8, 6), N(5, 9), O(2, 1),
         reflection                                        and P(–10, 3). Graph the figure and the image of the
                                                           figure after a reflection over the y-axis.
         In a reflection, you flip a figure over a line.
                                                           To find the coordinates of the vertices of the
         line of symmetry                                  image after a reflection over the y-axis, multiply the

         In a reflection, you flip a figure over a line. This line   x-coordinate by –1 and use the same y-coordinate.
         is called a line of symmetry.
                                                                             opposite
                    y                 line of symmetry
                                                                                  same
                                                              M (–8, 6)  ®   (–1 �(–8), 6)  ®    M‘ (8, 6)
                                                              N (5, 9)   ®   (–1 �5, 9)    ®     N‘ (–5, 9)
                                                              O (2, 1)   ®   (–1 �2, 1)    ®     O‘ (–2, 1)
                    0            x                            P (–10, 3)  ®  (–1 �(–10), 3)  ®   P‘ (10, 3)


                                                                               Answer





         dilation
         In a dilation, you enlarge or reduce a figure by a
         scale factor with respect to a fixed point.


         center
         In a dilation, you enlarge or reduce a figure by a
         scale factor with respect to a fixed point called the
         center.

                y



















          Center    0                        x


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