| Construction Algorithm |
| 1 |
 |
Construct
a point M as a center of the square. |
| 2 |
|
Construct
a point A on the construction area next to the point M. |
| 3 |
|
Construct
the line that connects the two points A and M. |
| 4 |
 |
Construct
a circle centered at M and has a radius AM. |
| 5 |
|
Generate
the intersection point between the line AM and the circle at C. |
| 6 |
 |
Construct a
perpendicular line through the point M. |
| 7 |
|
Generate the
intersection points between the free line and the circle at B and D. |
| 8 |
 |
Join up the
four points A, B, C, and D to get the required square. |
| 9 |
 |
Switch to
Move Mode. Pick a free element. Move it around to check your
construction. |
| Construction Theorem |
| The two diagonals of the
square are perpendicular to each other, bisect each other, and equal in
length. |