Page 128 - ICSE Math 5
P. 128

Letter X is an example of intersecting lines.
                          Parallel lines  are two lines which run at a particular          A                        B
                          distance from each other and never meet at a point.
                          In the figure given alongside, AB is parallel to CD, i.e.,       C                        D
                          AB || CD. Railway tracks are an example of parallel lines.

                          Perpendicular lines  are two lines which intersect each
                          other at a point when a line is drawn completely                               A
                          horizontal to the vertically drawn line.
                          In other words, two lines are said to be perpendicular               C         O      D
                          if they meet or intersect each other at right angles. We
                          will learn about right angles and other types of angles in
                          this chapter.                                                                  B

                          In the figure given alongside AB is perpendicular to CD,
                          i.e., AB CD.
                          An addition (+) sign is an example of perpendicular lines.

                     •  When we join two points with a straight line using a ruler, we get a line segment. The figure
                          given below is a line segment AB and is denoted as AB. Its length can be measured using a
                          ruler as it has a fixed length. A and B are called the two end points of AB.


                                                     A                                B


                     •  A line segment that extends only in one direction is called a ray. It has one end point. Its
                          other end can be extended indefinitely. The figure given below is a ray AB and is denoted
                          as AB with A as its end point.


                                                     A                           B

                    Now let’s learn about angles and their measures.

                    Angles                                                                                    C

                    When two rays meet at a common end point, they form                       Exterior of
                                                                                              the angle
                    a figure called an angle. The common end point where
                                                                                                         Interior of
                    the two rays meet is called the vertex of the angle, and        Vertex                the angle
                    the two rays are called the arms of the angle. Look at                       Angle
                    the figure shown alongside.                                          A             Arm          B

                    In the given figure, rays AB and AC are the two arms of
                    the angle CAB or BAC and A is the vertex. The symbol                             Top Tip
                    used to denote the word angle is ‘’. We write either                        The middle letter
                    CAB or BAC to name the given angle and read it as                        that we write to name
                    angle CAB and angle BAC, respectively.                                    the angle is always the
                                                                                                vertex of the angle.



                118
   123   124   125   126   127   128   129   130   131   132   133