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Example 2

                                     O Use a ruler and a set square to construct AB1 CD.

                                                ■D  L



                         .D                         C-                 D   C-                         i:
                     0     I)                                                               •D  C-
                                                                                   6                    B
         Use the pencil and    Mark point B on line  Place the set square  Label the new line   Draw a  square to
         the ruler to draw     segment CD.           on line segment CD   segment AB.           show that AB 1 CD.
         line segment CD.                            such that the right
                                                     angle of the set                           /LABC and  /.ABD
                                                                                                are right angles.
                                                    square is  at point 6.
                                                     Draw a  line segment
                                                    from point B.

                                     Q  Use a ruler and a  protractor to construct AB 1 CD.




                                                                '  >  '
                                                                   \
                                                                  A  \
                                              ■D   C-               ■D   C-                ■D  C-    r         ■D
             I  •   r   •  •  14     B
       i  .  I  .  I  .  I  .  I                                                                      B
      Use the pencil and     Mark point B on line  Place the protractor  Use the pencil and    Draw a  square to
      the ruler to draw     segment CD.            on  line segment CD   the ruler to draw a   show that    1 CD.
      line segment CD.                             such that the centre  line segment from B   /LABC and  /-ABD
                                                   of the protractor is  to the dot.           are right angles.
                                                   at B.                 Label the new line
                                                   Make a  dot at the    segment y4fi.
                                                   90°-mark.
                                     Drawing parallel lines

                                     You have learnt about parallel lines in Stage 5.  In this section, you will learn to
                                     construct parallel lines using a  ruler and a set square.


                                      Example 3

                                     Construct a  line MN parallel to line PQ such that they are 3 cm apart.

                                                            P
                                                                                   Q
        Solution
                    Place a  set square on
                    line PQ and a  ruler
                    at the shorter side of                                             M-                      N
                    the set square.
                                                                                         3  cm




                                                                                       Add  in the arrow heads to
                                                              Slide the set square     show that line MN is parallel
                                                              3 cm along the ruler.    to line PQ.
 E          UNIT 14       Geometrical Constructions
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