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In the construction of perpendicular bisector,                             R
                (a)  if the distance measured on the compasses is less than half the length
                   of PQ, what will happen? Discuss.                                             Q
                (b)  is the perpendicular bisector of PQ, which is RS, the axis of symmetry   P
                   of triangle PQR? Discuss and explain.                                     S



               (iii)  Perpendicular line to a straight line

                            4
                                                                                If a line is perpendicular
               Using  only a pair of compasses and a ruler, construct  the      to line PQ, then the
               perpendicular line from point M to the straight line PQ.         line is known as
                                                                                perpendicular line to
                                            M                                   line PQ.




                                                        Q
                                P


                                                                               Referring to the
                                            M                                  construction of a
                                                                               perpendicular line in
                                          3                                    Example 4, what is the
       CHAPTER
       8                                            S                          relationship between the
                                    R                1  Q                      construction methods of
                               P   1                                           a perpendicular line and
                                                                               a perpendicular bisector?

                                             2











                1  With the same distance on   2  With the same distance   3  Draw a line joining M and
                   the compasses from M,         on the compasses from         the point of intersection of
                   construct two arcs from M     R and from S, construct       the arcs.
                   intersecting PQ. Label the    an arc from R and from S
                   two points of intersection    respectively so that the
                   as R and S.                   arcs intersect.

                    Scan the QR Code or visit https://youtu.be/Raz8EGk4x0Y to watch the video of the
                    construction of a perpendicular line to a straight line passing through a point. Then,
                    explain the rationale of the construction steps.


           178
           Chapter 8



       08 TB Math F1.indd   178                                                                       11/10/16   12:17 PM
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