Draw a line segment AB = $ 6.5\,cm $ Draw its perpendicular bisector.

Hint: For this construction we first draw a line of given measurement and naming it and then find its midpoint and finally draw an angle of $ {90^0} $ at the midpoint of the line and hence we get the required construction asking in a given problem.

Complete step-by-step answer:
To draw a perpendicular bisector of line segment AB of length $ 6.5\,cm $ all steps of construction with proper explanation are as follows:
I.First draw a line of measure with the help of scale and name it’s one end with initial A and other with initial B.

Now, to draw the perpendicular bisector of the above formed line. We first find the midpoint of the line AB.
II.In the second step we find the midpoint of line segment AB. For this we first open the compass more than a half of length of AB and then put an arc on both sides of line AB drawn above from both initials A and B by putting the compass one by one on them.

III.Joining two arcs formed in above step by a line which intersects line AB at M. Here, M is the midpoint of line AB.

IV.As, we got to the midpoint of the line AB. Now to have a perpendicular bisector of AB. We draw an angle of $ {90^0} $ at M as shown.

These are the required steps to draw a perpendicular bisector of line AB of length $ 6.5\,cm $ .

Note: While drawing or doing construction work one must draw a rough figure on the side of the page to understand the steps that are required to construct a required figure. Also one should take measurements regarding construction very carefully to avoid any mistakes. And at each step also write steps of construction explaining how one is proceeding to get final construction.