Constructing a Rhombus with a Given Base

Construction Algorithm
1 Construct a line AB as a given base of the rhombus.
2 Construct the line BC so that AB = BC.
3 The translation button is already generated in the construction area.
4 Select the line AB and the two points A and B then press the translation button [B to C] to construct the image of the line AB by the defined translation.
5 Join up the four points A, B, C and D to get the required rhombus.
6 Switch to drag mode. Pick a free element. Move it around to check your construction.

Construction Theorems

A rhombus is a parallelogram in which two adjacent sides are equal in length.

Translation preserves the parallelism and the distance between points.

Please enable Java for an interactive construction (with Cinderella).
Please enable Java for an interactive construction (with Cinderella).