Page 125 - Maths Skill - 6

Playing With Construction 123

Now, let us construct this (rectangle) by following the steps given below:

Step 1: First of all, we have to draw a side of square AF and it may be of any length. Now we sketch a perpendicular
line FE (i.e. AF ⊥ FE).
Now put the length for AF into
compass and keep the one tip
of compass at point F and cut
this perpendicular line FE with
the help of this compass. Mark F E
the point E where compass cuts F
the line FE which is shown in
fig. aside:

A A

Step 2: Now according to above arrangement AF = FE.
Similarly, we put the tip of compass of E and cut this extended line FE with the help of this compass
at point D. This is also shown in figure below.

F
E D

A

Step 3: Now draw two perpendicular lines, one is at point D and perpendicular F D
to ED and other is at point A and perpendicular to AF. Put the point C
where these two perpendicular lines cuts each other and in this way, a
rectangle ‘ACDF’ has been constructed. A C

CONSTRUCTION OF SQUARE WITH A HOLE
Before constructing this, set a rough diagram in your mind. By seeing that D C
you can approach the process.
According to this diagram, we observed that ‘E’ is the centre of both circle F
as well as rectangle.
Now, Let us construct this by following steps given below. E

Step 1: First of all, we have to sketch a square ABCD by using only
compass and pencil. Centre

A B