Question

Draw a Quadrilateral, Name it and Name its Sides and Diagonals.

Answer 1

Hint: In order to find the quadrilateral, naming it we should know what is a quadrilateral, what is a side and what are diagonals. Mathematically, we can say that a diagonal is a straight line that joins two opposite corners of a polygon.

Complete step-by-step solution:
We are given to draw a quadrilateral, naming it and its sides and diagonals.
Since, we know that a quadrilateral is a closed figure that has four sides. Or, we can say it’s a polygon which has four sides.
So, drawing a figure joining four straight line, that are not parallel and we get:

The corners that are joined by two straight lines, name them as A, B, C and D.

So, the figure name is Quadrilateral ABCD.
As we know, the straight lines that join two corners of a quadrilateral are called a side.
So, accordingly we can say that the sides of the above quadrilateral are: AB, BC, CD and AD
Diagonals are the straight lines that join the opposite corners of a quadrilateral, so we join A and C , and B and D.
And, we get:

The Diagonals of the Quadrilateral ABCD are: AC and BD.
Hence, in Quadrilateral ABCD, we have:
1) Sides as: AB, BC, CD and AD
2) Diagonals are: AC and BD

Note: Any figure that has four sides is known as a quadrilateral. So, Square, Rectangle, Parallelogram, Trapezium etc are all examples of a quadrilateral.
A polygon is a closed figure bounded by any number of sides. A polygon starts from three sides, as two sides cannot form a closed figure.