In this accuse on basic geometry concepts, we cover the varieties and properties of quadrilaterals: Parallelogram, rectangle, square, rhombus, trapezium.

You are watching: Which property makes a rectangle a special type of parallelogram?

Definition:

A square is a basic closed number with four sides.

Types that quadrilaterals

There space five types of quadrilaterals.

ParallelogramRectangleSquareRhombusTrapezium

One usual property of all quadrilaterals is the the sum of all their angles equals 360°.

Let us look into the nature of various quadrilaterals.

Parallelogram

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

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

Rectangles

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

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

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

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

Squares

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Properties the a quarealell sides and angles are congruent.Opposite sides room parallel to every other.The diagonals are congruent.The diagonals room perpendicular to and bisect every other.A square is a special form of parallel whose all angles and also sides space equal.Also, a parallel becomes a square as soon as the diagonals space equal and also right bisectors of each other.

Important formulas because that SquaresIf ‘L’ is the size of the side of a square then size of the diagonal line = l √2.Area = L2.Perimeter = 4L

Rhombus

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

Important formulas because that a Rhombus

If a and also b room the lengths the the diagonals of a rhombus,

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

Trapezium

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Properties that a TrapeziumThe bases of the trapezium space parallel come each other (MN ⫽ OP).No sides, angles and diagonals space 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 far for easy reference and also remembrance:

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

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


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