Construction of rhombus given two diagonals Draw the perpendicular bisector of AC. With O as the centre and radius =3.1 cm, mark arcs on both the sides of AC to intersect its perpendicular bisector. Mark the points of intersection as B and D. Join points A, D, points C, D, points C, B, and points B, A.

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## How to construct a rhombus with one diagonal and one side?

Construction of Rhombus Given one Diagonal and one Side – If we are given with length of one diagonal and one side, then we can construct a rhombus following the below steps:

- Draw a line segment AB equal to the length of the given side of the rhombus
- With A as center and radius equal to the length of the diagonal draw an arc on the right side of point A and above B
- With B as center and radius equal to AB, cut the previous arc at C
- With C as center and radius equal to AB, draw an arc
- With A as center and the same radius, cut the previous arc at D
- Join AD, BC and CD

Hence, ABCD is the required rhombus. An example figure is given below.

### What are the properties of a rhombus?

Practice Questions – Here are some sample questions, students can practice drawing a rhombus.

- Construct a rhombus with side PQ = 6 cm and angle P = 60 degrees
- Construct a rhombus, with the length of one diagonal equal to 4.4 cm and another diagonal equal to 8 cm.

A rhombus can be constructed if these details are available: Length of its two diagonals or, Length of its side and measure of one angle or, Length of its side and one diagonal The sides of the diagonal are equal in length. The diagonals of a rhombus bisect each other at 90 degrees.

#### What are the opposite angles of a rhombus equal to?

Construction Of Rhombus – Definition, Examples, Properties (Class 8) Construction of rhombus will explain here how to draw a rhombus with the given combination of measurements, such as:

- Length of its two diagonals
- Length of its side and measure of one angle
- Length of its side and one diagonal

Before talking about the construction of a rhombus, let us recall the properties of a rhombus. A rhombus is a quadrilateral that has all its four sides equal in length. The diagonals of the rhombus bisect each other at a right angle. Also, the opposite angles of a rhombus are equal in measure and opposite sides are parallel to each other.

## What dimension is required to construct a rhombus PQRS?

Practice Questions – Here are some sample questions, students can practice drawing a rhombus.

- Construct a rhombus with side PQ = 6 cm and angle P = 60 degrees
- Construct a rhombus, with the length of one diagonal equal to 4.4 cm and another diagonal equal to 8 cm.

A rhombus can be constructed if these details are available: Length of its two diagonals or, Length of its side and measure of one angle or, Length of its side and one diagonal The sides of the diagonal are equal in length. The diagonals of a rhombus bisect each other at 90 degrees.