A rhombus is a parallelogram, all sides of which are equal. A parallelogram has opposite sides parallel. Based on the definitions of a rhombus and a parallelogram, you can build a rhombus using a ruler, square and compass.
It is necessary
ruler, square, compasses
Instructions
Step 1
First, you need to build two parallel lines. The easiest way to do this is using a straight edge and square. One side of the square must be brought close to the ruler and draw one straight line on the other side of the square. Then you need to move the square along the ruler and draw a straight line on the same side, parallel to the one already drawn.
Step 2
Then, using a compass, you need to build a circle of arbitrary radius with the center at a point lying on one of the straight lines. In this case, the circle must intersect the second straight line at some point (that is, the radius of the circle must be no less than the distance between the straight lines). These two points will define the first two points of the rhombus lying on one of the sides of the rhombus (for example, A and B).
Step 3
Then, using a compass on both straight lines, you need to set aside segments in one direction from side AB, equal to AB. Accordingly, the distance between the legs of the compass should be equal to AB.
Thus, you get two other points of the rhombus - C and D. By connecting these points, you get the CD side, and the resulting rhombus will be built.
