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16.2 Enlarging shapes


               ✦     Exercise 16.2


               1  Copy each of these shapes onto squared paper.
                  Enlarge each one using the given scale factors and centres of enlargement.
                  a  scale factor 2           b scale factor 3           c scale factor 4

                                                                                                    Make sure you
                                                                                                    leave enough
                                                                                                    space around
                                                                                                    your shape to
                                                                                                    complete the
                                                                                                    enlargement
                  d  scale factor 2           e scale factor 3           f scale factor 4











                  g  scale factor 2           h scale factor 3           i scale factor 4











               2  The vertices of this triangle are at (2, 2), (2, 3) and (4, 2).  y
                  a  Copy the diagram onto squared paper.                       8
                    Mark with a dot the centre of enlargement at (1, 1).        7
                     Enlarge the triangle with scale factor 3 from the centre    6
                     of enlargement.                                            5
                                                                                4
                  b   Write down the coordinates of the vertices of the image.
                                                                                3
                                                                                2
                                                                                1
                                                                                0
                                                                                 0  1  2  3  4  5  6  7  8  9 10 11  x
               3   The vertices of this trapezium are at (3, 2), (7, 2), (5, 4)
                  and (4, 4).                                                      y
                  a  Copy the diagram onto squared paper.                          6
                                                                                   5
                    Mark with a dot the centre of enlargement at (5, 2).
                                                                                   4
                     Enlarge the trapezium with scale factor 2 from the centre
                                                                                   3
                     of enlargement.
                                                                                   2
                  b  Write down the coordinates of the vertices of the image.
                                                                                   1
                                                                                   0
                                                                                    0  1  2  3  4  5  6  7  8  9 10  x
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