| Construction Algorithm |
| 1 |
 |
Construct
a line AC as a given diagonal of the rhombus. |
| 2 |
 |
Construct
M as a midpoint of the diagonal AC. |
| 3 |
 |
Construct
a perpendicular line to AC through the point M. |
| 4 |
 |
Construct
a point B on the perpendicular line. |
| 5 |
 |
Construct
a circle centered at M and has radius MB. |
| 6 |
|
Generate the
intersection points between the circle and the perpendicular line to
find the fourth vertex of the rhombus. |
| 7 |
 |
Join up the
four points A, B, C, and D to get the required rhombus. |
| 8 |
 |
Switch to
Move Mode. Pick a free element. Move it around to check your
construction. |
| Construction Theorem |
| The two diagonals of a
rhombus are perpendicular and bisect each other. |