Page 261 - ICSE Math 6
P. 261

ANGLES




                     Congruent Angles
                                                                                       0°             More than 0°
                    Angles of the same magnitude                                                     Less than 90°

                    Linear Pair                                                           Zero     Acute
                    Two adjacent supplementary angles
                                                                             360°   Complete  Types of   Right   90°
                     Complementary Angles                                                     Angles
                    Two angles with the sum of their measures as 90°                  Reflex          Obtuse
                                                                                                            Less than 180°

                     Supplementary Angles                                     Less than 360°  Straight    More than 90°
                    Two angles with the sum of their measures as 180°
                                                                                More than 180°
                                                                                               180°
                     Vertically Opposite Angles
                     Angles formed by two intersecting lines without any common arm


                     Adjacent Angles
                     Two angles lying on the opposite sides of a common arm and having the same vertex



                    TRIANGLES AND QUADRILATERALS



                                        Polygon
                       A simple closed figure made up of line segments only
                                                                                                 Vertex   EXTERIOR

                          A               A             A
                       polygon         polygon        polygon                                    Angle
                      with 3 sides.     with 5        with 7
                       Triangle         sides.         sides.                            Side             Side
                                       Pentagon      Heptagon                                  INTERIOR

                             A polygon           A              A
                              with 4          polygon        polygon                Vertex  Angle      Angle  Vertex
                               sides.          with 6         with 8                             Side
                                                              sides.
                           Quadrilateral       sides.        Octagon
                                              Hexagon





                                            Median of a Triangle              Altitude of a Triangle
                                     Joins the vertex of a triangle to the   It is the perpendicular drawn from the
                                     midpoint of the opposite side.    vertex to the opposite side of a triangle.
                                     Always lies inside the triangle.  May also lie outside the triangle.

                                     Point of intersection of medians is   Point of intersection of the altitudes is
                                     known as centroid.                known as orthocentre.


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