Page 166 - Math Skill - 5
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164                                                                                                  Maths








                                                 MIND MAP











              Types of Angles                       Geometry                                 Types of Lines

                           P



                     q
                O              Q                                                               COPLANER LINES
          If q = 0° (Zero angle)                          Triangles

          If q = 90° (Right angle)                                                             A    B         Plain
          If q = 180° (Straight angle)      On the basis of sides    On the basis of angles        C    D
          If q = 360° (Complete angle)
          If 90° < q < 180° (Obtuse angle)                                                   INTERSECTING LINES
                                                SCALENE
          If 0° < q < 90° (Acute angle)       No sides equal           ACUTE ANGLED
          If 180° < q < 360° (Reflex angle)                           All angles are acute         A          Q


                                                                                                             B
                                               ISOSCELES               OBTUSE ANGLED            P
                                              Two sides equal         One angle is obtuse
                                                                                            PERPENDICULAR LINES

                                                                                                        C
                                              EQUILATERAL              RIGHT ANGLED
                                            All three sides equal       One right angle                   90°
           Pairs of Angles                                                                    A                 B


           1.  COMPLEMENTARY ANGLES                                                                      D
              ∠A and ∠B are said to be        Circle
              complementary if                                                r    A           PARALLEL LINES
              ∠A + ∠B = 90°                   AB = Diameter (d)          O
                                              OA = OB = radius (r)          d                             B
           2.  SUPPLEMENTARY ANGLES                                B                            A
              ∠A and ∠B are said to be        d = 2 × r                                                      D
              Supplementary if                                                                     C
              ∠A + ∠B = 180°                  Diameter is the longest chord of any circle



                                                  Triangle Property
                 Sum of the lengths of any two sides is always greater than the length of the third side.
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