classify the quadrilateral into different types on the basic of sides and angels
Answers
Answer:
A quadrilateral is a polygon with four sides.
A rectangle is a parallelogram with four right angles, so all rectangles are also parallelograms and quadrilaterals. ...
A rhombus is a parallelogram with four congruent sides. ...
A trapezoid is a quadrilateral with exactly one pair of parallel sides.
Step-by-step explanation:
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Quadrilaterals and Types of Quadrilaterals
Quad means four and lateral means sides. All closed figures with four sides are called quadrilaterals. The sides of the quadrilateral may be equal, unequal, parallel or irregular which forms the basis of varying shapes in these four-sided shapes. Whatever may be the external shape, every quadrilateral has four sides, four vertices and with all its angles adding up to be 360 °.
The most common types of quadrilaterals are Squares and Rectangles. We have been studying about these basic quadrilaterals since our primary classes, but in this part of the chapter we shall bring in light various other types of the quadrilateral, which show properties like square or rectangle yet are not named so.
Browse more Topics under Understanding Elementary Shapes
Types of Angles
Types of Triangles
Properties of Quadrilaterals
Polygon and Polyhedrons
Types of Quadrilaterals
The various types of quadrilaterals are
1. Parallelogram
As the name suggests, a parallelogram is a quadrilateral with parallel opposite sides. In a parallelogram all the opposite sides are equal and the angles made by each opposite side is also equal. In the figure shown below, PQRS is a quadrilateral and since PQ || RS and PS || QR we call it a parallelogram

2. Rectangle
The Rectangle is also a type of parallelogram with a little difference in the angles of the sides. In a rectangle, all the sides are at the right angle or to say perpendicular to each other. The figure below shows a quadrilateral ABCD and since all its sides are parallel to each other we may also call it a type of parallelogram with line segments placed at right angle to each other. This can be written as AB || CD and AC || BD. ∠A =∠B =∠C=∠D= 90°

3. Square
A square is a quadrilateral with all four sides equal. Every vertex of a square makes a right angle with its sides. A square is a quadrilateral which shows the following characteristic:
WX || YZ and WY || XZ. ∠W =∠X =∠Y=∠Z= 90°

4. Rhombus
A rhombus is also a parallelogram but with all sides equal. In other words, a parallelogram that shows e resemblance to a square as regards its lengths of sides is called a rhombus. These are sometimes referred to as Diamonds also. Rhombus shows a very peculiar feature regarding their diagonals. The diagonals in a rhombus meet exactly in the middle at a right angle and are said to bisect with each other.

In the figure above we see that STUV is a quadrilateral with sides ST || UV and SV || TU. All its sides are equal, thus ST=TU=UV=VS which also happen to form equal angles.
5. Trapezium
Amongst the other types of quadrilaterals, a trapezium shows different characteristics, In a trapezium, only one pair of the four sides are parallel to each other. In a trapezium, all the sides may not be equal in measurement but one of the pairs of sides has to be parallel to each other.

In the above figure, we can see a trapezium with sides AB || DC. A trapezium does not show similarity in lengths and angles of sides hence is an irregular quadrilateral.
Every time we see a tabletop or a handkerchief what comes to our minds are the common type of quadrilaterals, a rectangle or a square. But from this chapter, we have come to know that every quadrilateral is not just a rectangle or square. So the next time you see a four-sided figure, just refer to it as a quadrilateral and reach to conclusions only when you compare it with the rest!