# 4th Class Mathematics Geometrical Figures Quadrilateral

Category : 4th Class

The geometrical figure having four sides are called quadrilateral. Look at the following figures:

• A quadrilateral has four sides.
• A quadrilateral has four vertices.
• A quadrilateral has four angles.
• Sum of all four angles of a quadrilateral is $\text{36}0{}^\circ$

• Sides of the quadrilateral ABCD are AB, BC, CD, and AD
• Vertexes of the quadrilateral ABCD are point A, point B, point C and point D
• Angles of the quadrilateral are$\angle \text{ABC}$, $\angle \text{BCD},\text{ }\angle \text{CDA},$and$\angle \text{DAB}$
• Sum of all the four angles of the quadrilateral ABCD , $\angle \text{A}+\angle \text{B}+\angle \text{C}+\angle \text{D}=$$\text{6}0{}^\circ +\text{12}0{}^\circ +\text{8}0{}^\circ +\text{1}00{}^\circ =\text{36}0{}^\circ$

In this chapter we will study about two types of quadrilateral:

• Rectangle
• Square

Rectangle

Rectangle is a quadrilateral in which (i) all angles are of$\text{9}0{}^\circ$and (ii) opposite sides are equal in length.

ABCD is a rectangle in which

(i) $\angle \text{A}=\angle \text{B}=\angle \text{C}=\angle \text{D}=\text{9}0{}^\circ$

(ii) AB = CD = 6 cm, and BC = AD = 4 cm.

Square

Square is a quadrilateral whose (i) All angles are of$\text{9}0{}^\circ$and (ii) All sides are equal

ABCD is a rectangle in which (i) $\angle \text{A}=\angle \text{B}=\angle \text{C}=$$\angle \text{D}=\text{9}0{}^\circ$(ii)$\text{AB}=\text{BC}=\text{CD}$$=\text{DA}=\text{5 cm}$

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