| Construction Algorithm |
| 1 |
 |
Construct
a line AB as a given base of the parallelogram. |
| 2 |
|
Construct
a point C above the line AB and the line joining B and C. |
| 3 |
 |
Construct
a circle centered at A and has a radius BC. |
| 4 |
|
Construct
another circle centered at C and has a radius AB. |
| 5 |
 |
Generate
the intersection point between the two circles to find
the vertex D of the parallelogram. |
| 6 |
|
Construct
the two lines CD and AD. |
| 7 |
 |
Join
up the four points A, B, C and D to get the required parallelogram. |
| 8 |
 |
Switch
to
drag mode. Pick
a free element. Move it around to check your construction. |
| Construction Theorem |
| A parallelogram is a
quadrilateral, in which
each
two opposite sides are equal in length. |