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(b)    A  B                 Self Practice  9.3a         2.  (a)
                        H       C             1.  All sides have the same length;
                                                 opposite sides are parallel;
                       G        D
                                                 diagonals are perpendicular
                           F  E                  bisectors of each other.      (b)
                       Octagon ABCDEFGH
                    (c)    B  C               2.    Rectangle  Parallelogram
                        A       D                 Opposite sides  Opposite sides
                       J         E                are of the same  are of the same   3.  x = 164°, y = 74°
                         I      F                 length and   length and   4.  x = 34°, y = 66°
                           H  G                   parallel.   parallel.
                       Decagon ABCDEFGHIJ         All of its   Opposite       Let’s Practise
                                                  interior angles  angles are
                    Mastery    9.1                                          1.  (a)  3
                                                  are 90°.    equal.           (b)  3
                 1.  (a)  True   (b)  True        Diagonals   Diagonals are    (c)  7
                 2.      A    B                   are of equal   bisectors of   (d)  3
                                                  length and are  each other.  2.  (a)  Rectangle, rhombus
                     H            C               bisectors of                 (b)  Scalene triangle
                                                  each other.                  (c)  Square, rhombus
                    G             D               It has two axes  It does not      (d)  Rectangle, square
                                                  of symmetry.  have any axes   3.  (a)  85°
                         F    E                               of symmetry.     (b)  24°
                    Name of polygon: octagon                                   (c)  50.5°
                    Number of diagonals: 20     Self Practice  9.3b            (d)  15°
                                              1.  121°                      4.  x = 53°, y = 53°
                  Self Practice  9.2a
                                              2.  x = 84°, y = 90°          5.  x = 15°, y = 60°
                 1.  (a)  Obtuse-angled triangle; or
                       scalene triangle         Self Practice  9.3c         6.  The largest number in the ratio
                    (b)  Equilateral triangle  1.  x = 152°, y = 121°          is 6; 120°
                    (c)  Right-angled triangle  2.  x = 132°, y = 138°      7.  75°
                    (d)  Acute-angled triangle; or                          8.  x = 112°, y = 44°
                       scalene triangle         Self Practice  9.3d         9.  x = 30°, y = 74°
                                              1.  x = 72°, y = 108°
                  Self Practice  9.2b                                       10.  x = 56°, y = 62°
                                              2.  x = 30°, y = 72°
                 1.  (a)  35°   (b)  47°                                    11.  x = 53°, y = 127°
                    (c)  27°    (d)  42°         Mastery    9.3
                 2.  (a)  123°   (b)  54°     1.  Similarities:              Chapter 10 Perimeter and Area
                    (c)  82°    (d)  76°
                                                 • Opposite sides are of equal   Self Practice  10.1a
                  Self Practice  9.2c              length and parallel.
                                                 • Opposite angles are equal.   1.  (a)  74 cm
                 1.  x = 56°, y = 32°                                          (b)  71 cm
                 2.  x = 60°, y = 89°            Differences:                  (c)  13 cm
                                                 Parallelogram
                    Mastery    9.2               • Opposite sides are of equal   Self Practice  10.1b
                 1.  (a)  1     (b)  3             length.                  The estimated answers depend on
                    (c)  1      (d)  1           • Diagonals are bisectors of   the students.
                 2.  (a)  Equilateral triangle     each other.
                    (b)  Isosceles triangle      • It does not have any axes of   1.  (a)  Estimation: 10 cm
                    (c)  Obtuse-angled triangle; or   symmetry.                   Perimeter: 9.9 cm
                       scalene triangle          Rhombus                       The difference between the
                    (d)  Right-angled triangle   • All sides have the same length.  estimated value and the actual
                 3.  x = 56°, y = 118°           • Diagonals are perpendicular   value is small, therefore the
                                                   bisectors of each other.    estimated value is accurate.
                 4.  x = 108°, y = 144°
                                                 • It has 2 axes of symmetry.
                 5.  x = 160°, y = 62°

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                                                                                                 Answers



       14 Ans Math F1.indd   319                                                                      11/10/16   12:23 PM
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