Question

In quadrilateral PQRS, name the sides, angles, vertices, and the diagonals.

Answer 1

Hint:First try to understand the definition of sides, angles, vertices, and the diagonals of the quadrilateral and then name them.

Complete step-by-step answer:
We have given a quadrilateral PQRS.
The goal is to name the sides, angles, vertices, and diagonals.
First, draw the figure of quadrilateral PQRS.

First name the sides of the quadrilateral PQRS.
The word quadrilateral means the four sides, quad means four, and laterals mean sides, therefore, quadrilateral has four sides. The name of the four sides of the PQRS are:
PQ, QR, RS, and SP are the four sides of the quadrilateral.
Now, naming the angles of the quadrilateral.
It can be seen in the figure of the quadrilateral, that there are four angles. The name of these four angles are:
$\mathrm{\angle }P,\mathrm{\angle }Q,\mathrm{\angle }R,$and$\mathrm{\angle }S$
Now, naming the vertices of the quadrilateral.
A point where any two edges of a quadrilateral meet, is called a vertex of a quadrilateral and there are four such points in the quadrilateral. The name of these points are:
$P,Q,R$and$S$
Finally, naming the diagonals of the quadrilateral.
The lines joining the opposite vertices of the quadrilateral are called the diagonals of the quadrilateral. We can see in the figure that the opposite vertices of the quadrilateral are:
P is the opposite vertex of R and Q is the opposite vertices of S. So, the line joining the opposite vertices are PR and QS. So, there are two diagonals of the quadrilateral named PR and QS.

Note:These four-factors jointly create the properties of the quadrilateral. Quadrilaterals are further classified into many other shapes depending on the changes in the length of the side, angles, diagonals, etc. With the differences in the above four factors many other shapes are drawn which are a part of the Quadrilateral.