Question

what is an rhombus ?
​

Answer 1

Answer:

In Euclidean geometry, a rhombus is a type of quadrilateral. It is a special case of a parallelogram, whose diagonals intersect each other at 90 degrees. This is the basic property of rhombus. The shape of a rhombus is in a diamond shape. Hence, it is also called a diamond. Check lines of symmetry in rhombus.

You must have seen the diamond shape in the playing cards. All the rhombi are parallelogram and kite. If the angles of the rhombus are all 90 degrees, then it is a square.

A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles. The rhombus is also called a diamond or rhombus diamond. The plural form of a rhombus is rhombi or rhombuses.

Explanation:

Properties of Rhombus:-D

Some of the important properties of the rhombus are as follows:

• All sides of the rhombus are equal.
• The opposite sides of a rhombus are parallel.
• Opposite angles of a rhombus are equal.
• In a rhombus, diagonals bisect each other at right angles.
• Diagonals bisect the angles of a rhombus.
• The sum of two adjacent angles is equal to 180 degrees.
• The two diagonals of a rhombus form four right-angled triangles which are congruent to each other
• You will get a rectangle when you join the midpoint of the sides.
• You will get another rhombus when you join the midpoints of half the diagonal.
• Around a rhombus, there can be no circumscribing circle.
• Within a rhombus, there can be no inscribing circle.
• You will get a rectangle, where the midpoints of the 4 sides are joined together, and the length and width of the rectangle will be half the value of the main diagonal so that the area of the rectangle will be half of the rhombus.
• When the shorter diagonal is equal to one of the sides of a rhombus, two congruent equilateral triangles are formed.
• You will get a cylindrical surface having a convex cone at one end and concave cone at another end when the rhombus is revolved about any side as the axis of rotation.
• You will get a cylindrical surface having concave cones on both the ends when the rhombus is revolved about the line joining the midpoints of the opposite sides as the axis of rotation.
• You will get solid with two cones attached to their bases when the rhombus is revolving about the longer diagonal as the axis of rotation. In this case, the maximum diameter of the solid is equal to the shorter diagonal of the rhombus.
• You will get solid with two cones attached to their bases when the rhombus is revolving about the shorter diagonal as the axis of rotation. In this case, the maximum diameter of the solid is equal to the longer diagonal of the rhombus.

Answer 2

Rhombus is a special type of a parallelogram whose all sides are equal.

The difference between a and rhombus is that all of a square are right angles, but the angles of a rhombus need not be right angles.

So, a rhombus with right angles becomes a square.

We can say, “Every square is rhombus but all rhombus are not square.”