FOLLOW US:

Parallelogram

A Parallelogram is a flat shape with opposite sides parallel and equal in length.

Opposite angles are equal (angles "a" are the same, and angles "b" are the same) Angles "a" and "b" add up to 180°, so they are supplementary angles.

Properties of Parallelogram:

(1) Opposite sides are parallel.

(2) Opposite sides are congruent.

(3) Opposite angles are congruent.

(4) Consecutive angles are supplementary (180⁰).

(5) The diagonals of a parallelogram bisect each other.

(6) Each diagonal of a parallelogram separates it into two congruent triangles.

---

---

Formula to Find Area of Parallelogram

Area of Parallelogram = base x height

---

Rhombus

A parallelogram having all sides equal is called a Rhombus .

Properties of Rhombus

(1) If we join the mid-points of the adjacent sides of a rectangle , then it will be a rhombus .

(2) The diagonal of a rhombus are perpendicular to each other ,

Important Formulas of Rhombus

(i)Area of rhombus =

1/2

d₁ x d₂

(ii) Side =

1/2

√(d₁² + d₂² )

or

4a² = d₁² + d₂²

(iii) Parameter = 4a

where a = side of rhombus , d₁ = first diagonal , d₂ = second diagonal ,

---

Trapezium

A quadrilateral having exactly a pair of parallel sides, is called a Trapezium

Isosceles Trapezium

A Trapezium is a Isosceles Trapezium if its non-parallel sides are equal.

Formulas

(i) Area of Trapezium =

1/2

x (sum of parallel sides x distance between them)

---