| Construction Algorithm | ||
| 1 |  |
Construct a line AB as a given base of the square. |
| 2 |  |
Construct the perpendicular line at B. |
| 3 |  |
Construct a circle centered at B and has a radius AB. |
| 4 |  |
Generate the intersection point C between the circle and the perpendicular at B. |
| 5 | |
Construct the line that joins between A and C. |
| 6 |  |
Construct the midpoint M between A and C. |
| 7 | |
Construct the line that joins between M and B. |
| 8 | |
Construct a circle centered at M and has MB as a radius. |
| 9 |  |
Join up the four points A, B, C and D to get the required square. |
| 10 |  |
Switch to drag mode. Pick a free element. Move it around to check your construction. |
| Construction Theorems | ||
| A square is a quadrilateral
whose four right angles and four sides equal in length. The two diagonals of the square are perpendicular to each other and equal in length. |
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