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What are the properties of a …

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What are the properties of a 1.trapezium 2.rhombus 3.parallelogram 4. Rectangle and square
  • 1 answers

Gaurav Seth 5 years, 2 months ago

Trapezium:

  1. Like other quadrilaterals, the sum of all the four angles of the trapezium is equal to 360°
  2. A trapezium has two parallel sides and two non-parallel sides
  3. The diagonals of regular trapezium bisect each other
  4. The length of the mid-segment is equal to half the sum of the parallel bases, in a trapezium
  5. 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.

Rhombus:

  • All sides of the rhombus are equal.
  • The opposite sides of a rhombus are parallel.
  • Opposite angles of a rhombus are equal.
  • In a rhombus, diagonals bisect each other at right angles.
  • Diagonals bisect the angles of a rhombus.

 

Parallelogram:

  • The opposite sides are congruent.
  • The opposite angles are congruent.
  • The consecutive angles are supplementary.
  • If anyone of the angles is a right angle, then all the other angles will be the right angle.
  • The two diagonals bisect each other.
  • Each diagonal bisects the parallelogram into two congruent triangles.
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