# Plzzz I need all angle Of quadrilaterals and it's properties

Properties of a parallelogram
• Opposite sides are parallel and congruent.
• Opposite angles are congruent.
• 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 parallelograms
• Area = L * H
• Perimeter = 2(L+B)

Rectangles Properties of a Rectangle
• Opposite 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 rectangles
• If the length is L and breadth is B, then

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

• Area = L * B
• Perimeter = 2(L+B)

Squares Properties of a square
• All 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 Squares
• If ‘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 Rhombus
• All 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) / 2
• Perimeter = 4L

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

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

• 3
even kite

• 1. Two pairs of sides are of equal length.
2. One pair of diagonally opposite angles is equal.
3. Only one diagonal is bisected by the other.
4. The diagonals cross at 90°.

• Two pairs of sides are of equal length.
• One pair of diagonally opposite angles is equal.
• Only one diagonal is bisected by the other.
• The diagonals cross at 90°.
• Two pairs of sides are of equal length.
• One pair of diagonally opposite angles is equal.
• Only one diagonal is bisected by the other.
• The diagonals cross at 90°.
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