# Math՚s: Quadrilaterals: Properties of Different Types of Quadrilaterals (For CBSE, ICSE, IAS, NET, NRA 2022)

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## Properties of a Parallelogram

• The opposite sides of a parallelogram are equal. In the parallelogram given below and
• The opposite angles of a parallelogram are equal. In , and
• The diagonals of a parallelogram bisect each other. In , and

## Properties of a Rhombus

Since rhombus is a type of parallelogram, the properties of a parallelogram are also true for rhombus.

• The opposite sides of a rhombus are equal. In the rhombus given below and
• The opposite angles of a rhombus are equal. In rhombus , and
• The diagonals of a rhombus bisect each other at right angles. In rhombus , and . Also,

## Properties of a Rectangle

All the properties of a parallelogram apply on rectangle too in addition to some more specific properties.

• The opposite sides of a rectangle are equal. In the given rectangle , and
• Each angle of a rectangle is right-angle. and
• The diagonals of a rectangle are equal.
• The diagonals of a rectangle bisect each other. and .

## Properties of a Square

Since a square is a type of rectangle, all the properties of rectangle also apply on square.

• All the sides of a square are equal. In the given square ,
• Each of the angles are right angles. i.e.. and
• The diagonals of a square are equal.
• The diagonals of a square bisect each other at right angles i.e.. and . Also, .

1. In a parallelogram , . Find the measures of the other angles.

Solution- Given,

We know that the opposite angles of a parallelogram are equal.

Then, .

The sum of adjacent angles of a parallelogram equal

(opp. s of a ll gm)

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