1.  Draw a line segment AB of length 6.4cm. At either end, draw perpendiculars to AB. Are the two lines drawn parallel
  2.  Draw a line segment PQ. Taking a point M on itsuch thatPM=MQ.Draw MN perpendicular PQ

1.

First draw a line segment AB of length 6.4cm.

Take any radius. With center at A draw an arc to cut AB at P.

With center at P, and with the same radius draw an arc to cut the previously drawn arc at Q.

With center at Q, and with the same radius draw an arc to the previously drawn arc at R.

With Q as center and the same radius draw an arc.

With Ras center and the same radius draw an arc cutting the arc drawn previously at C.

Draw AC and produce it to D.

With similar steps we can draw another perpendicular line from B.

Thus BE is the perpendicular from B.

It is very clear that AD and BE are parallel.

 

2.

Draw line segment PQ.

With center at P and radius half more than PQ, draw arcs, on each side of PQ.

With center at Q and the same radius as before, draw arcs to the previously drawn arcs at R and S respectively.

Join RS which intersects PQ at M. 

Now M bisects the line segment PQ.

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