| Construction Algorithm |
| 1 |
 |
Construct
a line AB as a given base of the rhombus. |
| 2 |
 |
Construct
the line BC so that AB = BC. |
| 3 |
 |
Define a
translation from B to C. (Use menu item "Mode/Transformation/Translation" then select B as a peimage point and select C as an image
point to generate the translation button [B to C]. |
| 4 |
 |
Select the
line AB and the two points A and B as well then press the translation
button [B to C] to construct the image of the line AB by the defined
translation. |
| 5 |
 |
Join
up the four points A, B, C and D to get the required rhombus. |
| 6 |
 |
Switch
to
drag mode. Pick
a free element. Move it around to check your construction. |
| Construction Theorems |
A rhombus is a parallelogram
in which two adjacent sides are equal in length.
Translation preserves the parallelism and the distance between points. |