| 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 |  |
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]. |
| 5 |  |
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. |
| 6 |  |
Join up the four points A, B, C and D to get the required rectangle. |
| 7 | |
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. If two sides of a quadrilateral are parallel and equal in length, then the quadrilateral is a parallelogram. Translation preserves the distance between points. |
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