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Solve Mentally
                                                                True or False

                                                                  1.  True   2.  False   3.  False   4.  True   5.  False
                (c)                   (d)
                                                                  6.  True   7.  False   8.  True
                                                                Fill in the Blanks
                                                                  1.  anticlockwise     2.  translation     3.  8
            Exercise 13.2                                         4.  1      5.  120°   6.  60°   7.  point   8.  line
              1.  (a) order 2  (b)  order 2    (c)  No rotational symmetry   Answer in One Word or a Line
                (d) order 4  (e)  order 4    (f) order 2     (g)  order 2
                                                                  1.  4      2.  90°   3.  Rotational symmetry
                (h) order 3  (i)  No rotational symmetry   (j)  order 4
                                                                  4.  2, its diagonals
                (k) No rotational symmetry
                                                                  5.  Rotation turns an object about a fixed point called centre
                Letters  Line    Number   Rotational   Order of     of rotation.
                       symmetry   of lines of   symmetry  rotational
              2.        Yes/No   symmetry  Yes/No   symmetry      6.  180°   7.  No
                  H      Yes        2       Yes        2        Let’s Evaluate
                  E      Yes        1        No        1          1.  Badminton racket, cricket bat, coin and a tube light

                  C      Yes        1        No        1          2.     Figure        Lines of       Angle of
                                                                                      symmetry       rotational
                  N       No        0       Yes        2                                             symmetry
                  Z       No        0       Yes        2                  (a)             4             90°
                  S       No        0       Yes        2                  (b)             2            180°
                                                                          (c)             0            180°
                                                                          (d)             4             90°
              3.  (a), (c), (d), (e)                                      (e)             6             60°
                                                                          (f)             4             90°
              4.  (a)        (b)           (c)                            (g)             1            360°
                   equilateral       isosceles   parallelogram                            (c)
                    triangle      triangle                        3.  (b)  ✕  ✕  ✓  ✓          ✕   ✓   ✕  ✓
                                                                    (d)  ✓  ✕   ✕   ✕     (e)  ✕   ✕   ✕  ✓
                (d)          (e)                                    (f)   ✓  ✕  ✕   ✓
                    isosceles       scalene
                   trapezium        triangle                    Thinking Skills
                                                                  1.  Only line symmetry: A, B, C;

                                                                    Only rotational symmetry: N, S, Z
              5.  (a)        (b)           (c)                    2.  Yes, two or more lines of symmetry implies rotational
                    isosceles     rhombus       square
                    trapezium                                       symmetry. For example letters H, I, O have 2 lines of
              6.  For 45° rotation—90°, 135°, 180°, 225°, 270°, 315° and   symmetry  hence  rotational  symmetry  as  well.  No  for
               360°                                                 example a parallelogram has rotational symmetry but no
                An angle of rotation of 50° is not possible.        line symmetry.
                For 60° rotation—120°, 180°, 240°, 300° and 360°    3.  (a) rotation  (b)  rotation (c)  reflection  (d)  rotation
              7.  (a) Yes  (b) Yes  (c) Yes  (d) No  (e) Yes   (f) No    4.  (a) 90°   (b)  180°   (c)  90°   (d)  270°
                             Review Exercises                     5.  (a) 5, 72°  (b)  2, 180°  (c)  6, 60°   (d)  4, 90°
            Multiple Choice Questions                               (e) 12, 30°  (f)  3, 120°

              1.  d    2.  b     3.  c     4.  d      5.  c
                                                                  6.  (a) Yes   (b)  Yes   (c)  Yes   (d)  No
              6.  d    7.  b     8.  c     9.  d     10.  d
                                                                    (e) No    (f)  Yes


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