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5

                 Using only a  pair  of compasses and  a ruler, construct  the  perpendicular  line  to  PQ
                 passing through point N.


                                              P
                                                             N
                                                                       Q




                                                  2                             Referring to the
                                                                                construction of a
                                                                                perpendicular line in
                                         1                                      Example 5, what is the

                                 P     R               1                        relationship between the
                                                N                               construction methods of
                                                        S  Q                    a perpendicular line and
                                                3                               a perpendicular bisector?
                                                                                Discuss and explain.
                                              2                                                               CHAPTER





                                                                                                              8







                 1  With the same distance   2  Widen the compasses to a distance  3  Draw a line joining
                     on the compasses,           more than NR or NS, and with the   N and the points of
                     construct two arcs from N   same distance from R and from S on   intersection of the arcs
                     intersecting PQ. Label the   the compasses, construct  two arcs   constructed in Step 2.
                     two points of intersection   above and below  PQ respectively
                     as R and S.                 so that the arcs intersect.


                      Scan the QR Code or visit https://youtu.    Scan the QR Code or visit https://youtu.be/
                     be/FoxcZU8P7JA to watch the video of     Kow8PWTwIRM to watch the video of the
                     the construction of a perpendicular      construction of a perpendicular line to a straight
                     line to a straight line passing through a      line using a set square. Hence, construct the
                     point on the straight line. Then, explain   perpendicular line in Example 4 and Example 5
                     the rationale of the construction steps.  by using only a set square and a ruler.







                                                                                                       179
                                                                                  Lines and Angles



       08 TB Math F1.indd   179                                                                       11/10/16   12:17 PM
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