| 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
a circle centered at A and has a radius BC. |
| 5 |
 |
Construct
another circle centered at C and has a radius AB. |
| 6 |
 |
Generate the
intersection points between the two circles to find the fourth vertex
of the rectangle. |
| 7 |
 |
Join
up the four points A, B, C, and D to get the required rectangle. |
| 8 |
 |
Switch
to
drag 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 each two opposite sides
are equal in length. |