| Construction Algorithm |
| 1 |
 |
Construct
a line AB as a given base of the rectangle. |
| 2 |
 |
Construct
a perpendicular line to AB through the point B. |
| 3 |
|
Construct
a point C on the perpendicular line. |
| 4 |
 |
Construct
M as a midpoint of the diagonal AC. |
| 5 |
 |
Construct
a circle centered at M and has a circumference point at B. |
| 6 |
 |
Construct the
line that connects the two points B and M. |
| 7 |
 |
Generate the
intersection point between the line BM and the circle at D. |
| 8 |
 |
Join up the
four points A, B, C and D to get the required rectangle. |
| 9 |
 |
Switch to
Move Mode. Pick a free element. Move it around to check your
construction. |
| Construction Theorems |
A rectangle is a
parallelogram with a right angle.
A parallelogram is a quadrilateral, in which diagonals bisect each
other. |