Question

Draw
a
line
m.
Draw
a
perpendicular
to


m
at
any
point
on
m.
On
this


perpendicular
choose
a
point
X,
4
cm


away
from
m.
Draw
a
line
n
parallel
to
m


through
X.​

Answer 1

Answer:

                      q

4cm ----------- ⊥--------------------------n

                         |

                        ⊥

--------------------- ⊥--------------------------m

                        p

Step-by-step explanation:

I have given a rough idea in the symbolic representation. Use your ruler and compass for the purpose. Choose a point on line m, say p. Place your compass needle on p and without changing the radius draw two arcs on either side of line m. Placing the needle on p just change the face laterally and draw two more arcs so that they intersect on both sides. Draw a line through p. This gives the perpendicular bisector through p on line m. Placing the compass needle on p draw an arc on p on any one side with radius 4 cm. Mark the point q on the line where the arc meets the line through p. Repeat the process of drawing a perpendicular bisector through q. You may rotate your copy for convenience. The perpendicular bisector gives the line n.