A Trapezium and its properties

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Concept # A Trapezium and its properties

Learning objectives

  1. A quadrangle with only two opposite sides parallel is called a trapezium, or trapezoid.
  2. The parallel sides are called the bases of the trapezium and the other two sides are called the legs or the lateral sides.
  3. If the legs are equal in length, then this is an isosceles trapezium.
  4. The distance between the bases is called height of trapezium.

Notes for teachers

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Concept #2. Measurements in Trapezium

Learning objectives

  1. The trapeium contains two parallel sides and two non-parallel sides.
  2. The area of trapezium is found by viewing it as a parallelogram.
  3. The area of trapezium is 1/2(a+b)h where a and b are its parallel sides and h is the perpendicular distance between them.
  4. The perimeter of a trapezium is obtained by sum of its 4 sides.

Notes for teachers

  1. The area of most figures can be expressed in terms of its dimensions.
  2. The area of most composite figures can be calculated using the area of primary figures.

Activity No # Find area of trapezium with given clues.

  1. A small circle is placed inside a square just touching the sides. The square is on top of a big circle with its vertices on the circle. Finally the big circle is on top of a trapezium which has its sides just touching the circle. Using the measurements and clue given, find the area of the trapezium.



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Concept # 3.Construction of Trapezium

Learning objectives

Notes for teachers

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Concept # 4. Isosceles trapezium

Learning objectives

Notes for teachers

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