| Construction Algorithm | ||
| 1 |  |
Construct a line AC as a given diagonal of the rectangle. |
| 2 |  |
Construct M as a midpoint of the diagonal AC. |
| 3 |  |
Construct a free line through M. |
| 4 |  |
Construct a circle centered at M and has a radius AM. |
| 5 |  |
Generate the intersection points between the circle and the free line at B and D to get the third and the fourth vertices of the rectangle. |
| 6 |  |
Join up the four points A, B, C and D to get the required rectangle. |
| 7 |  |
Switch to Move Mode. Pick a free element. Move it around to check your construction. |
| Construction Theorems | ||
| A rectangle is a
parellelogram with two equal diagonals. A parallelogram is a quadrilateral, in which diagonals bisect each other. |
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