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              4.    Hold the ruler fixed, then slide the set         5.    Join PQ along the edge through P,
                  square along the ruler so that the vertical            meeting l at Q.
                  side passes through the given point P.
                                                                                              1 2 3 4 5 6 7 8 9 10 11 12 13
                                                                                              1
                                        1 2 3 4 5 6 7 8 9 10 11 12 13                         2
                                        1                                                     3
                                        2                                                     4
                                        3                                                     5
                                        4                                                     6
                                        5                                                     7
                                        6                                                  P  8
                                     P  7                                                     9
                                        8
                                                                                              10
                                        9
                                        13 12 11 10  l                     A               Q  13 12 11  cm 15  B  l
                       A                  cm 15  B                                             14
                                        14                                                   13
                                       13                                                   12  5
                                     12  5                                                11
                                    11                                                  10
                                  10                                                   9
                                 9                                                    8
                               8                                                    7  3
                              7  3                                                6
                            6                                                    5
                           5                                                   4  2
                            2
                         4
                                                                             3
                        3
                                                                            2  1
                      2  1                                                1
                     1
                    inches                                                inches



                    Now  PQ  ⊥  AB .
                                                             P
                                                                            l
                                                 A         Q         B
                  activity
                Drawing a perpendicular bisector of a line using a transparent tape, a pair of scissors, and a pencil.
                Steps of construction:
                 1.  Draw a line segment  AB           A                    B
                 2.  Place a strip of transparent tape diagonally across AB as shown in the figure.



                                                        A                    B



                 3.    Repeat step 2 by placing another tape over A  4.  Join M and N.  MN  is the perpendicular bisector of
                    and B just diagonally across the previous one.   . Verify it using a ruler and a protractor.
                    Both the strips cross at M and N.             AB
                                                                                           M
                                        M

                             A                    B                            A                    B
                                        N                                               N




                    Maths Talk


                Why MN is a perpendicular bisector of AB ? Can you deduce it without measuring?

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