In this indict on simple geometry concepts, us cover the types and properties of quadrilaterals: Parallelogram, rectangle, square, rhombus, trapezium.

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Definition:

A quadrilateral is a straightforward closed figure with 4 sides.

Types that quadrilaterals

There space five species of quadrilaterals.

ParallelogramRectangleSquareRhombusTrapezium

One common property of all quadrilaterals is the the amount of all their angles equates to 360°.

Let united state look right into the nature of different quadrilaterals.

Parallelogram

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Properties of a parallelogramOpposite sides are parallel and congruent.Opposite angles are congruent.Adjacent angles room supplementary.Diagonals bisect each other and also each diagonal line divides the parallelogram into two congruent triangles.If among the angles of a parallelogram is a best angle then all other angles are right and also it i do not care a rectangle.

Important formulas of parallelogramsArea = together * HPerimeter = 2(L+B)

Rectangles

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Properties of a RectangleOpposite sides space parallel and also congruent.All angles space right.The diagonals space congruent and also bisect each various other (divide each other equally).Opposite angles developed at the suggest where diagonals meet are congruent.A rectangle is a special type of parallelogram whose angles space right.

Important formulas for rectanglesIf the size is L and breadth is B, then

Length of the diagonal of a rectangle = √(L2 + B2)

Area = together * BPerimeter = 2(L+B)

Squares

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Properties of a squareall sides and angles room congruent.Opposite sides are parallel to every other.The diagonals are congruent.The diagonals space perpendicular to and also bisect each other.A square is a special kind of parallelogram whose every angles and also sides are equal.Also, a parallelogram becomes a square when the diagonals are equal and also right bisectors of each other.

Important formulas for SquaresIf ‘L’ is the length of the next of a square then length of the diagonal line = l √2.Area = L2.Perimeter = 4L

Rhombus

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Properties that a RhombusAll sides room congruent.Opposite angles space congruent.The diagonals are perpendicular to and bisect each other.Adjacent angles space supplementary (For eg., ∠A + ∠B = 180°).A rhombus is a parallelogram whose diagonals space perpendicular to every other.

Important formulas because that a Rhombus

If a and also b are the lengths that the diagonals of a rhombus,

Area = (a* b) / 2Perimeter = 4L

Trapezium

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Properties that a TrapeziumThe bases that the trapezium are parallel come each other (MN ⫽ OP).No sides, angles and also diagonals room congruent.

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Important Formulas for a TrapeziumArea = (1/2) h (L+L2)Perimeter = together + L1 + L2 + L3

Summary of properties

Summarizing what we have learnt so much for straightforward reference and also remembrance:

S.No.PropertyParallelogramRectangleRhombusSquare
1All sides are congruent
2Opposite sides space parallel and congruent
3All angles room congruent
4Opposite angles room congruent
5Diagonals space congruent
6Diagonals room perpendicular
7Diagonals bisect each other
8Adjacent angles room supplementary

Continue learning more about:– nature of Lines and also Angles– Properties and also formulas of Circles– types of Triangles and Properties


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