Question

How many measurements can determine a quadrilateral uniquely?
A.2
B.3
C.4
D.5

Answer 1

Hint: Here we will use the fact that a quadrilateral is a figure having four sides. In order to construct a quadrilateral we need to know the measurement of the four sides along with the measurement of the diagonal otherwise.

Complete step-by-step answer:
To form a quadrilateral uniquely we should know five measurements of it. These measurement are as follows:
A quadrilateral can be formed if we know the length of the four sides plus the length of the diagonal.
A quadrilateral can be formed if we know the length of three sides plus length of two diagonals as well.
A quadrilateral can be formed if we have a length of two adjacent sides and three angles are given to us.
A quadrilateral can be formed if the length of its three sides and the two angles included are given.
So as we can see in all the points that we require five measurements to form a quadrilateral.
Hence, option (D) is correct.

Note: A quadrilateral is a two-dimensional closed shape having four sides. A quadrilateral has four sides, four angles and 4 vertices whose sum of all interior angles is $${360}^{\circ }$$. It can be regular or it can be irregular. The different types of quadrilateral are square, rectangle, rhombus etc. Several examples are present around us of quadrilaterals such as chess board, kite, a board sign or an arrow.