A quadrilateral is a 2-dimensional, closed, and four-sided polygon with four angles. Here you will get a deep understanding of Types of Quadrilateral | Properties of each Quadrilateral.

• Quadrilateral has four vertices (corners)
• The sum of the interior angles of the quadrilateral is equal to 360 degrees. i.e.,

∠A + ∠B + ∠C + ∠D = 360°

Based on the lengths of sides and angles quadrilaterals are: 1. Trapezium
2. Parallelogram
3. Square
4. Rectangle
5. Rhombus
6. Kite

Let us discuss in brief the properties of quadrilaterals.

## Square

Properties of Square
• All sides of a square are parallel. (AB || CD & BC || AD).
• All sides of a square are equal. (AB = CD = BC = AD).
• Each of the interior angles of a square is 90°
• The diagonals of a square bisect each other.
• The diagonals bisect each other at 90° or right angles
• The sum of the interior angles of the square is equal to 360 degrees. i.e.,

∠A + ∠B + ∠C + ∠D = 360° ## Rectangle

Properties of Rectangle

• The opposite sides of a rectangle are parallel. (AB || CD).
• The opposite sides of a rectangle are equal. (AB = CD & BC = AD).
• Each of the interior angles of a rectangle is 90°
• The diagonals of a rectangle bisect each other.
• The sum of the interior angles of the rectangle is equal to 360 degrees. i.e.,

∠A + ∠B + ∠C + ∠D = 360° ## Kite

Properties of Kite

• Two distinct pairs of adjacent sides are congruent
• Diagonals of a kite intersect at right angles
• One of the diagonals is the perpendicular bisector of another
• Angles between unequal sides are equal ## Kite

Properties of a Parallelogram

• Opposite sides are parallel i.e AB || CD & BC || AD
• Opposite sides are equal in length i.e AB = CD & BC = AD
• Opposite angles are equal.∠A = ∠C && ∠B = ∠D
• If one angle is right, then all angles are right.
• The diagonals of a parallelogram bisect each other.
• Opposite sides are congruent.
• Opposite angles are congruent. ## Trapezium

Properties of a Trapezium

• The set of the parallel lines in a trapezium is referred to as the base of the trapezium and other two non-parallel sides are known as the legs of that trapezium.
• The mid-segment in a trapezium is the mid-point of the non-parallel side in the trapezium.
• If we bisect the non-parallel line of the trapezium from its mid-point then trapezium will not divide in two equal part.
• The bases of the trapezium are parallel to each other (PQ || RS).
• No sides, angles and diagonals are congruent. ## Rhombus

Properties of a Rhombus

• Every Rhombus has two diagonals connecting pairs of opposite vertices, and the two pairs of parallel sides.
• Opposite angles of a Rhombus are equal in measure.
• Diagonals of Rhombus bisect opposite angles.
• The two diagonals of a Rhombus are always perpendicular.