PROPERITES OF QUADRILATERAL

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

Sum of interior angles of a quadrilateral is 360.

There are six types of quadrilaterals. They are

Parallelogram

Definition of parallelogram :

A parallelogram is a quadrilateral which has opposite sides parallel.

Properties of parallelogram :

• Opposite sides are equal in length
• Opposite angles are equal in size.
• Diagonals bisect each other.

Related Pages

• Find missing angles in parallelogram
• Find missing angles of parallelogram worksheet
• Length of diagonal of parallelogram
• Length of diagonal of parallelogram worksheet
• Properties of parallelogram worksheet

Rectangle

Definition of rectangle :

A rectangle is a parallelogram with four equal angles of 90 degree.

Properties of rectangle :

• Opposite sides are equal and parallel.
• Diagonals bisect each other.
• Diagonals are equal in length.

Related Pages

• Properties of rectangle worksheet
• Practice problems on properties of rectangle
  
• Word problems on area of rectangle worksheet
• Problems on diagonal of a rectangle worksheet

Rhombus

What is rhombus ?

A rhombus is a quadrilateral in which all sides are equal is length.

Properties :

• Opposite sides are parallel.
• Opposite angles are equal in size.
• Diagonals bisect each other at right angles.
• Diagonals bisect the angles at the vertex.

Related Pages

• Problems on diagonals of rhombus
• Applying properties to find side length of rhombus
• How to find missing angles of rhombus with diagonals

Square

What is square ?

A square is a rhombus with four equal angles of 90.

Properties :

• Opposite sides are parallel.
• All sides are equal in length.
• Diagonals bisect each other at right angles.
• Diagonals bisect the angles at each vertex.
• Diagonals are equal in length.

Related Pages

• Properties of square
• Properties of square worksheet

Trapezium

What is trapezium ?

A trapezium is a quadrilateral which has a pair of parallel opposite sides.

Properties :

• A trapezium has two parallel sides and two non parallel sides.
• The diagonal of regular trapezium bisect each other.
• The length of the midsegment is equal to half the sum of parallel bases.
• Two pairs of adjacent angles of a trapezium formed between the parallel sides and one of the non parallel side, add up to 180 degrees.

Related Pages

• Find missing angles in isosceles trapezium
• Problems on isosceles trapezoid with diagonals

Kite

Definition of kite :

A kite is a quadrilateral which has two pairs of adjacent sides equal in length.

Properties :

• One diagonal is an axis of symmetry.
• One pair of opposite angles are equal.
• Diagonals cut each other at right angles.
• One diagonal bisect one pair of angles at vertices.

Related Pages

• Find the missing sides in kite
• Find missing angles in kite
• Finding area of kite
• Finding length of diagonal from area is given

Properties of Quadrilaterals Quiz

Which of the following are true? Give reason for your answers.

Problem 1 :

A rectangle is a quadrilateral.

Solution :

True, since it has four sides, we can say rectangle is a quadrilateral.

Problem 2 :

A rectangle is a square.

Solution :

A rectangle may be a square sometimes, if all sides are equal. So, it is true.

Problem 3 :

A square is a rhombus.

Solution :

True, since all sides are equal in square and in rhombus.

Problem 4 :

A rhombus is a parallelogram.

Solution :

True, since opposite sides are parallel, we say rhombus is a parallelogram.

Quiz on properties of quadrilaterals