Question

In a quadrilateral define the following: Adjacent sides.

Answer 1

Hint: In this question we have to define the adjacent sides of the quadrilateral. For that we have to explain about adjacent sides. Then with help of the definition we can analyze the quadrilateral to find the required result.

Complete step-by-step solution:
For this question requirement first we have to know about the adjacent side.
First the meaning of adjacent is an adjective meaning next to.
Adjacent sides are sides of a polygon that have a common vertex. Usually found in triangles and other polygons, two of the sides that meet at a vertex of the polygon are called adjacent sides. In other words we can say, in geometry, two sides that meet to create an angle are said to be adjacent. In trigonometry the adjacent side of a right triangle is the side next to the angle in question.
These are explained about the adjacent sides.
Now we are going know about the adjacent side of quadrilateral,
Two sides of a quadrilateral which have a common endpoint are called its adjacent sides.
Consider the quadrilateral $ABCD$,

In quadrilateral $ABCD$,
The four points $A$, $B$, $C$, $D$ are called its vertices
The four line segments $AB$, $BC$, $CD$, and $DA$ are called its sides,
$\mathrm{\angle }DAB$, $\mathrm{\angle }ABC$, $\mathrm{\angle }BCD$, and $\mathrm{\angle }CDA$ are called its angles, to be denoted by $\mathrm{\angle }\text{A, }\mathrm{\angle }\text{B, }\mathrm{\angle }\text{C and }\mathrm{\angle }\text{D}$respectively, and
The line segments $AC$ and $BD$ are called its diagonals.
From the property of quadrilateral and the definition of adjacent sides we will get,
In the given figure, $\left(AB,BC\right)$, $\left(BC,CD\right)$, $\left(CD,DA\right)$, and $\left(DA,AB\right)$ are four pairs of adjacent sides of quadrilateral $ABCD$

Note: We can observe that from the solution of the question, the center of a quadrilateral can be defined in several different ways. The vertex centroid comes from considering the quadrilateral as being empty but having equal mass at its vertices. The side centroid comes from considering the sides to have constant mass per unit length. The usual center called just centroid (center of area) comes from considering the surface of the quadrilateral as having constant density. These three points are generally not all the same point.