Yeha sure your answer is 4 sides and one diagonal take an example imagine a quadrilateral we can draw a quadrilateral only if it's 4 sides and one diagonal are given

Unique Construction of a Quadrilateral

To uniquely construct a quadrilateral, the lengths of all four sides and a diagonal need to be given. Let's break down why this is the case:

Explanation:
- A quadrilateral is a polygon with four sides and four vertices.
- In order to uniquely define a quadrilateral, we need to know the lengths of all four sides and an additional piece of information to distinguish it from other possible quadrilaterals.
- By knowing the lengths of all four sides, we have information about the shape and size of the quadrilateral.
- However, since there are many different quadrilaterals that can have the same set of side lengths, we need an additional piece of information to uniquely determine the quadrilateral.

Diagonal as Additional Information:
- By providing the length of a diagonal in addition to the lengths of all four sides, we introduce a new piece of information that helps uniquely identify the quadrilateral.
- The diagonal of a quadrilateral is a line segment that connects two non-adjacent vertices of the quadrilateral.
- Knowing the length of a diagonal helps determine the orientation and positioning of the sides in the quadrilateral, allowing for a unique construction.

Therefore, in order to construct a quadrilateral uniquely, the lengths of all four sides and a diagonal need to be given. This combination of information ensures that there is only one possible quadrilateral that satisfies the given conditions.