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 |
|
Define a
reflection at the point M, then construct the image of the point B by
reflection on M by selecting it to get the fourth vertex D of the
rectangle. |
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.
A parallelogram is a quadrilateral, in which diagonals bisect each
other.
Reflection preserves the distance between points.
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