Question

What‌ ‌are‌ ‌all‌ ‌the‌ ‌properties‌ ‌of‌ ‌a‌ ‌rhombus?‌ ‌

Answer 1

Hint: In this question, we need to explain the properties of the rhombus. Rhombus is nothing but a type of quadrilateral whose all four sides are the same length. It is also known as a special type of parallelogram whose diagonals intersect each other at 90° . Rhombus is also known as a diamond since it has a diamond shape.

Complete step-by-step solution:
Rhombus is a quadrilateral which has four vertices and four edges enclosed by four angles. Some properties of the rhombus are
1. Geometrically , In rhombus , opposite sides are parallel to each other and opposite angles are equal.
2. All the sides of the rhombus are the same in length.
3. The diagonals of the rhombus intersect each other at 90° .
4. The sum of the interior angles of the rhombus is equal to 360° . Rhombus has four interior angles.
5. The adjacent sides of the rhombus are supplementary. The sum of two adjacent angles of the rhombus is equal to 180°
6. The diagonals of the rhombus bisect the angles of the rhombus.
7. The diagonals of the rhombus form four right angle triangles . The right angle triangles are congruent to each other.
8. In rhombus, there are two lines of symmetry.
9. In rhombus, when all the midpoints of the four sides are joined together , it gives a rectangle whose length and width will be half the value of the prime diagonal.
10. In rhombus, there can be no circumscribing circle around a rhombus and also no inscribed circle within a rhombus.
11. The area of the rhombus is defined as the ratio of the product of two diagonals by two .

Note: The simple example of the rhombus in our daily life is windows in the car, mirror etc… Mathematically, there are six types of Quadrilateral such as parallelogram, trapezium, square, rhombus, rectangle and kite. Rhombi is the plural form of the rhombus. A square is a type of rhombus since the sides of the square are equal as in rhombus. Also the diagonals of square bisect each other as in rhombus. Thus square is a rhombus.