Construct a kite whose diagonals are of lengths \(6 \ cm\) and \(8 \ cm\).
Construction:

Step 1:
Step 2:
Step 3:
Step 4:
Thus, \(ABCD\) is the required kite.
Answer variants:
Mark a point \(O\) anywhere on the line segment \(AC\) and draw a perpendicular line to \(AC\) passing through \(O\).
With \(O\) as the centre and \(3 \ cm\) as the radius, draw two arcs on the perpendicular line that intersect at \(B\) and \(D\).
Join \(AB\), \(BC\), \(CD\) and \(DA\).
Draw a line segment \(AC = 8 \ cm\).