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Trapezium a quadrilateral having exactly...

Trapezium a quadrilateral having exactly one pair of parallel sides is called a trapezium.

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Area of Trapezium

Understanding the different geometrical shapes is very important. In the previous chapter, we have learned a lot of shapes with examples as well. In this lesson, students will learn about trapezium.  We will also discuss the area of a trapezium, including the area of trapezium formula, properties, and so on. Unless proper examples are seen, it becomes impossible to get the right solutions. So, for this, we will also solve some problems to get a better idea about it. 

A trapezium is a type of quadrilateral that have two parallel sides. The other two sides are non-parallel. According to Euclidean Geometry, a polygon having four sides and four vertices is called a trapezium. The parallel and non-parallel sides of a trapezium are termed as bases and legs, respectively. It is also known by the term, ‘trapezoid’. In certain times, the parallelogram is also referred to as a trapezoid with two parallel sides.

Trapezium

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Knowledge Check

  • A quadrilateral having one and only one pair of parallel sides is called

    A
    a parallelogram
    B
    a kite
    C
    a rhombus
    D
    a trapezium

  • The quadrilateral in which only one pair of opposite sides are parallel is called a

    A
    square
    B
    parallelogram
    C
    rhombus
    D
    trapezium

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    A quadrilateral whose only one pair of opposite sides are parallel, is called a

    Complete each of the following statements by means of one of those given in brackets again each: If one pair of opposite sides are equal and parallel, then the figure is ............... (parallelogram, rectangle, trapezium) If in a quadrilateral only one pair of opposite sides are parallel, the quadrilateral is .............. (square, rectangle, trapezium) A line drawn from the mid-point of one side of a triangle .................. another side intersects the third side at its mid-point. (perpendicular to, parallel to, to meet) If one angle of a parallelogram is a right angle, then it is necessarily a .................... (rectangle, square, rhombus) Consecutive angles of parallelogram are ...................... (supplementary, complementary) If both pairs of opposite sides of a quadrilateral are equal, then it is necessarily (rectangle, parallelogram, rhombus) if opposite angles of a quadrilateral are equal, then it is necessarily a ................... (parallelogram, rhombus, rectangle) If consecutive sides of a parallelogram are equal, then it is necessarily a ............. (kite, rhombus, square)

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    Base each of the two parallel sides of a trapezium is called a base of the trapezium.

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