The rhombus is the simple geometrical figure having four tops and therefore being one of special cases of a parallelogram. From other polygons of this sort it is distinguished by equality of lengths of all parties. Also the fact that corners in opposite tops of a figure have identical size is defined by this feature. It is possible to construct a rhombus in several ways - for example, with use of compasses.
It is required to you
- Leaf, pencil, compasses, ruler, protractor.
Instruction
1. Put two any points which will be opposite tops of a rhombus at the opposite edges of a leaf, and designate them by the letters A and Page.
2. Put the auxiliary end approximately to that place where there has to be the third top of a figure. The distance from it to tops of A and C has to be identical, but it is not required to observe absolute accuracy on this step.
3. Measure compasses distance from A point to an auxiliary point and draw the semicircle with the center in A point turned towards a point of C.
4. Draw the same semicircle (without changing the distance which is laid off on compasses) having the center a point of C and directed towards A point.
5. Put the end of B and D to places of the top and lower crossing of semicircles and draw connecting lines between points of A and B, B and C, C and D, D and A. On it creation of a rhombus with any party and corners will be complete.
6. If it is required to construct a rhombus with the set length of the parties, then at first postpone this value on compasses. Then put the end of A which will be one of quadrangle tops, and draw a semicircle in the direction of estimated opposite top.
7. Put the end of C to that place where you would like to see opposite top. You recognize that the distance from the outlined semicircle to this top has to be less than the distance which is laid off on compasses. The less there will be this distance, the wider the rhombus will turn out.
8. Repeat the actions described in the fifth and sixth steps. After that creation of a rhombus with the parties of the set length will be complete.
9. If it is required to construct a rhombus with the set corner, then at first designate by any points A and B two next tops of a rhombus and connect them a piece.
10. Postpone length of a piece of AB on compasses and draw a semicircle with the center in A point. You make all subsequent constructions, without changing the distance which is laid off on compasses.
11. Apply a protractor to AB piece so that the zero mark coincided with A point, measure the set corner and put the auxiliary end.
12. Carry out the straight line piece beginning in A point, passing through an auxiliary point and which is coming to an end on a semicircle nacherchenny earlier. Designate a point of the termination of a piece by letter D.
13. Draw two semicircles directed to each other with the centers in points of B and D. Already existing A point will be one of points of intersection of polukruzhiya, and designate another by letter C and connect it to points of B and D. On it creation of a rhombus with the set corner will be complete.