Page 86 - Math Course 2 (Book 2)
P. 86

Transformations: Rotated Images





         • Draw a segment from point R to point A.          • Draw GR.

                                                                                           →
         • Use a protractor to measure a 45° angle          • Use a compass to copy GD onto GR.
           counterclockwise with AR as one side.              Name the segment GD’.
           Extend the other side to be longer than AR.
                                                            • Repeat with points E and F.
         • Locate point R’ so that AR = AR’.
                                                            ΔD’E’F’ is the image of ΔDEF under a 115°
         • Repeat this process for points S, T, and V.      clockwise rotation about point G.


         • Connect the four points to form R’S’T’V’.                           Answer


         Quadrilateral R’S’T’V’ is the image of quadrilateral
         RSTV under a 45° counterclockwise rotation about
         point A.

                                 S’
                                        T’

                                        V’  S
            Answer          R’
                                               T
                                 R

                             A              V

         Triangle DEF has vertices D(–2, –1), E(–1, 1), and
         F(1, –1). Draw the image of DEF under a rotation
         of 115° clockwise about the point G(–4, –2).       Your Turn!


                                                           Draw a Rotation

                                                            For the following diagram, which description best
                                                            identifies the rotation of triangle ABC around point
                                                            Q?

                                                            A. 20° clockwise
                                                            B. 20° counterclockwise
                                                            C. 90° clockwise
                                                            D. 90° counterclockwise












         • First draw  ΔDEF and plot point G.

         • Draw a segment from point G to point D.


         • Use a protractor to measure a 115° angle
                                                              Answer
           clockwise with GD as one side.


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