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    E:\Working\Brother_Education\Preparatory_Stage_Maths-3_(11-09-2024)\Open_Files\CHAP_07
                 \ 02-Nov-2023                      Sonia Suyal   Proof-1                     Reader’s Sign _______________________ Date __________

                  line

                  A line is a straight one-dimensional figure, that does not have a
                  thickness. If we fold a piece of paper, the crease represents a line. A

                  line can extend indefinitely in both directions.                                       Line
                  Line AB given alongside is denoted symbolically as  AB .                               A            B

                  types of lines

                  There are two types of lines:

                  1. Straight line             2. Curved line.
                  When you hold a piece of thread tightly, you get a straight line.

                  When you hold a piece of thread loosely, you can get a curved line.

                  The straight line can be horizontal, vertical or slanting.

                             Straight Lines                                                        Note

                    Horizontal    Vertical Slanting         Curved Lines           •   We can draw
                                                                                     uncountable lines             O
                                                                                     from a given point.
                                                                                   •   From two given points,
                                                                                     only one straight line  P       Q
                                                                                     can pass.
                  line Segment

                  A line segment is a part of a line. It has a fixed length.
                  Here, in the given figure, AB is a line on which P and Q are             A    P               Q     B

                  any two points. After removing the extra parts beyond P and Q, it forms a line segment PQ.

                  Line segment PQ or QP is written as PQ or QP simply PQ, where P                      P                Q
                  and Q are the endpoints of the line segment.

                  The edge of your notebook, edge of your ruler, etc. can be considered as examples of line
                  segments. A line segment is a part of a line. A line has no endpoints and it has no fixed
                  length, whereas a line segment has a fixed length.

                           Quick Check
                           Quick Check
                         1.   Wh ich  p a th  is the sh ort es t r out e t o g o fr om                    Curved path 1
                         •  Which path is the shortest route to go from
                            point X to point Y. ________t Y? ________
                            poin t X t o poin
                                                                                    X                                Y
                         2.    Th e  s h or t es t   p a t h  b e t w een  X a n d   Y  i s  kn o w n   a s
                         •  The shortest path between X and Y is known as
                            a ___________.
                            a ___________.                                                    Straight path
                                                                                                    Curved path 2

                  Mathematics-3                                                                                         115

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