Constructing a Rhombus with a Given Base

Construction Algorithm
1 Construct a line AB as a given base of the rhombus.
2 Construct a line BC so that AB = BC considering that C is the third vertex of the rhombus.
3 Construct a line parallel to AB that passes through point C.
4 Construct another line parallel to BC that passes through point A.
5 Generate the intersection points between the last two constructed lines to find the fourth vertex of the rhombus.
6 Join up the four points to get the required rhombus.
7 Switch to drag mode. Pick a free element. Move it around to check your construction.
Construction Theorem
A rhombus is a parallelogram, in which two adjacent sides are equal in length.
Please enable Java for an interactive construction (with Cinderella).