| Construction Algorithm |
| 1 |
 |
Construct a line AB as a given base of the square. |
| 2 |
 |
Construct
two perpendicular lines to AB at A and 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 line at B. |
| 5 |
|
Construct a perpendicular line at C. |
| 6 |
|
Generate the intersection point D between the perpendicular at A and the
perpendicular at C. |
| 7 |
 |
Join up the
four points A, B, C and D to get the required square. |
| 8 |
 |
Switch
to
drag mode. Pick
a free element. Move it around to check your construction. |
| Construction Theorem |
| A square is a quadrilateral whose four right angles and two adjacent sides equal
in length. |