| 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.
|