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 E content digital text on the topic "Trapezium. "It includes the concepts about trapezium, properties of Trapezium, types of Trapezium and the area of trapezium.

Trapezium

Objectives

• To understand about Trapezium

• To understand the properties of Trapezium

• To understand different types of Trapezium

• To understand the area of Trapezium

• To solve real life problem related to the area of Trapezium 

Trapezium

The trapezium is a quadrilateral with one pair of parallel opposite side .The parallel sides of a trapezium are called bases and the non parallel sides of a trapezium are called legs.It is also called a Trapezoid.


Properties of Trapezium

Some important properties of a trapezium are as follows:

  • In trapezium exactly one pair of opposite sides are parallel.
  • The diagonals intersect each other.
  •  The non-parallel sides in the trapezium are unequal except in isosceles trapezium.
  • The sum of the interior angle of the trapezium is equal to 360°.
  • The sum of two adjacent angle is equal to 180°.
  •  The line that joins the mid-points of the non-parallel sides is always parallel to the bases or parallel sides which is equal to half of the sum of parallel sides.

Different types of Trapezium

The trapezium is categorised into three types:

  1. Isosceles trapezium
  2. Scalene trapezium
  3. Right trapezium

Power point presentation 

Different types of Trapezium

Area of a trapezium

Area of a trapezium is half the product of the parallel sides and distance between them


Area of Trapezium = ½(a+b)h

Video



Video

Exercise Questions

Answer these questions

References

1. SCERT 9th textbook

2. SCERT 9th handbook 

3. Samgra website







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