Page 71 - Math Course 2 (Book 2)
P. 71

Transformations in Geometry




               Dilation in a Coordinate Plane

                   Example



                A polygon has vertices A(–1, 1), B(1, 1), and
                C(1, 2). Graph the polygon and the image of the                      Answer
                polygon after a dilation centered at the origin with
                a scale factor of 3.                                                      y
                                                                                                  C’
                To dilate the polygon, multiply the coordinates of
                each vertex by 3
          To dilate the polygon, multiply the coordinates of
          each vertex by 3.                                                     A’                B’
                   A (–1, 1)       ®             A' (–3, 3)                                 C
                                                                                      A     B
                   B (1, 1)        ®             B’ (3, 3)                            O               x


                   C (1, 2)        ®             C’ (3, 6)









                Your Turn!


               Reflections in a Coordinate Plane

                 The vertices of a figure are Q(–2, 4), R(–3, 1), S(3, –2), and T(4, 3). Graph the figure and the   image of the
                 figure after a reflection over the y-axis.



                A.                                  C.
                                                                                     Answer
















                B.                                  D.
















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