Question

How can you make a quadrilateral rigid?

Answer 1

Hint: To do this question first we should know what is a rigid quadrilateral. There is a way to make a quadrilateral rigid. Add a cross brace connecting two parts of the quadrilateral, avoiding some non-rigid cases.

Complete answer:
Any quadrilateral is naturally non-rigid.

The simplest cross brace to describe that will render a convex quadrilateral non rigid is to add a line segment from one vertex to the opposite one. This will subdivide the quadrilateral into two rigid triangles.

Therefore, in this question, It is possible to make a quadrilateral rigid with a cross brace that connects a point on one side to another point on the quadrilateral, but this does not always result in a rigid structure.

For example, a line segment joining the mid-point of one side of a rectangle to the midpoint of the opposite side would not make the structure more rigid.

Therefore, On the other hand, if you have a line segment that runs from ${\displaystyle \frac{1}{3}}$ of the way along one side to ${\displaystyle \frac{2}{3}}$ of the way along the opposite side, then the resulting structure would be rigid.

Note: It is possible to make a quadrilateral rigid with a cross brace that connects a point on one side to another point on the quadrilateral, but this does not always result in a rigid structure. For example, a line segment joining the mid-point of one side of a rectangle to the midpoint of the opposite side would not make the structure more rigid.