Constructing a Rhombus with a Given Diagonal
Construction Algorithm
1
Construct a line AC as a given diagonal of the rhombus.
2
Construct a circle centered at A and has radius AC.
3
Construct another circle centered at C and has radius AC.
4
Generate the intersection points between the two constructed circles at B and D.
5
Join up the four points A, B, C, and D to get the required rhombus.
6
Switch to Move Mode. Pick a free element. Move it around to check your construction.
Construction Theorem
A rhombus is a quadrilateral whose four equal sides.
Please enable Java for an interactive construction (with Cinderella).
Please enable Java for an interactive construction (with Cinderella).