Question

Different quadrilaterals and their properties list

Answer 1

Types of quadrilaterals

There are five types of quadrilaterals.

Parallelogram Rectangle Square Rhombus Trapezium

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

Let us look into the properties of different quadrilaterals.

Parallelogram

Properties of a parallelogramOpposite sides are parallel and congruent.Opposite angles are congruent.Adjacent angles are supplementary.Diagonals bisect each other and each diagonal divides the parallelogram into two congruent triangles.If one of the angles of a parallelogram is a right angle then all other angles are right and it becomes a rectangle.

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

Rectangles

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

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

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

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

Squares

Properties of a squareAll sides and angles are congruent.Opposite sides are parallel to each other.The diagonals are congruent.The diagonals are perpendicular to and bisect each other.A square is a special type of parallelogram whose all angles and sides are equal.Also, a parallelogram becomes a square when the diagonals are equal and right bisectors of each other.

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

Rhombus

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

Important formulas for a Rhombus

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

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

Trapezium

Properties of a TrapeziumThe bases of the trapezium are parallel to each other (MN ⫽ OP).No sides, angles and diagonals are congruent.

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

The rectangle has the following properties:All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other).All angles are right angles by definition.The diagonals are congruent.

Answer 2

Square_1.all sides are equal, all angles measures 90degree, diagonal bisects each other.
Rectangle_opp. sides are equal, all angles measures 90 degree and diagonals bisects each other.
Parallelogram_opp sides are parallel snd equal, opp angles are equal, and diagonal bisectes each other.
Rhombus_all sides are equal and opposite sides are parallel, opp angles are equal, diagonals bisects each other perpendicularly.
Trapezium_one pair of opp side is parallel.
Kite_pair of adjacent sides are equal, one diagonal bisects another diagonal at 90 degree.