Page 113 - ICSE Math 4
P. 113

3.  Draw and label line segments of the given lengths in your notebook.
                           (a) 2.5 cm  (b) 6 cm  (c) 8.5 cm  (d) 4.5 cm  (e) 3 cm  (f) 9.5 cm

                    Types of Lines

                    Besides being categorized as straight and curved, lines can be of various other types. Let’s

                    study about them.
                    Intersecting Lines                                                            Point of intersec  on


                    When two or more lines cross each other at a common
                                                                                               A
                    point, they are called  intersec  ng  lines. The common                                   A       C
                                                                                                                   O
                    point where they meet is called the point of intersec  on.           C   O     D             D     B
                    In the given fi gures, AB and CD intersect at point O.                      B

                    Perpendicular Lines


                    Two lines are said to be perpendicular if they
                    meet or intersect each other at a point where one
                    line is drawn completely horizontal to a ver  cally
                    drawn line.                                                 plus sign       le  er T       le  er L
                    The symbol for perpendicular is .                                             E           G
                    Some examples of perpendicular lines are given
                    alongside.
                                                                                            A                          B
                    In the given  fi gure, EF is perpendicular to AB or
                    EF  AB and GH is perpendicular to both AB and CD,                              F
                                                                                            C                          D
                    i.e., GH  AB and GH  CD.

                                                                                                               H

                                                        If the two lines drawn are even slightly   lted as shown in
                                                        the fi gures given alongside, they are not perpendicular.



                    Parallel Lines

                    We all must have seen railway tracks. The two lines of the track never meet each other. So,
                    we say that the tracks run parallel to each other.

                    We defi ne parallel lines as those lines which never meet
                    each other at a point. They are at a equal distance from
                    each other. The symbol for parallel lines is .

                    Look at the  fi gures given below. In all the  fi gure, AB is
                    parallel to CD or AB CD. Parallel lines may be ver  cal,
                    horizontal or slan  ng. Rays and line segments can also be
                    parallel to each other.


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