| Construction Algorithm | ||
| 1 |  |
Construct a line AB as a given base of the rhombus. |
| 2 |  |
Construct the line BC so that AB = BC. |
| 3 |
|
Construct the diagonal AC. |
| 4 |  |
Construct a perpendicular line to AC through the point B. |
| 5 |  |
Generate the intersection point between the perpendicular line through B and the line AC at M. |
| 6 |  |
Construct a circle centered at M and has radius MB. |
| 7 |  |
Generate the intersection between the circle and the perpendicular line BM at D. |
| 8 |  |
Join up the four points A, B, C, and D to get the required rhombus. |
| 9 |  |
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. The two diagonals of a rhombus are perpendicular and bisect each other. |
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