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              \\November 23, 2023 10:09 AM   Surender Prajapati   Proof 5   Reader _________________________   Date: ___________________74







                       Think and Answer
                    Identify the examples of a point, a line and a plane in the following:
                    1. Tip of a sharpen pencil  2. The edge of a book         3. Floor of a room

              ray

              If a line segment goes endlessly in one direction, it is called a          A                        B
              ray. The figure alongside represents a ray AB.

              It is denoted by  AB . The  AB  has one end point, namely A. The end point A is called the
              initial point of ray  AB .
              line
                                                                                              FACTS
              If a line  segment is extended  endlessly in both                  Š  Infinite number of lines can be

              directions, it is called a line.                                      drawn through a point.
                                                                                 Š  Only a line segment can be drawn
              The figure alongside represents a line AB. It is denoted              through two given points.
              by  AB  or  BA .                                                                                        l

              A  line may be represented by a small  letter such  as
              l, m, n, etc.                                                         A                     B

              A line has no end points. So, it does not have a definite
              length.


                       Knowledge Desk

                     The shortest distance between two points is a straight line, which is known as the
                     Euclidean distance. It is named after the Greek mathematician Euclid.


              intersecting lines

              You have often seen Chauraha when you go to the market or  school.
              A Chauraha is a place where two roads cross and intersect each other
              at a point.

              If two  lines  meet at a point or  tend to  meet if extended,  they are
              called intersecting lines.                                                                        l
              Here,  in  the adjacent  figure,  lines  l  and  m  are intersecting  lines
              intersecting at the point O.                                                                O          m


                                                                                                                   B
              Also, look at the two lines AB and CD shown here.
                                                                                                  A
              If we extend them towards the left side, we find that they meet at                  C                D

              the point O.
                                                                                                                    B
              We say that the lines AB and CD intersect at the point O.                            A

              Hence,  AB  and  CD  are intersecting lines.
                                                                                        O         C                 D

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