How Do You Draw A Rhombus Shape

Construction of rhomb volition explain here how to draw a rhombus with the given combination of measurements, such as:

Length of its 2 diagonals
Length of its side and measure of one angle
Length of its side and ane diagonal

Earlier talking about the construction of rhombus, permit us recall the backdrop 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. Besides, the opposite angles of a rhombus are equal in measure out and reverse sides are parallel to each other.

In this commodity, we volition talk over steps to construct a rhombus, where the measurement of its ii diagonals is given. Class 8 students can learn to construct a rhombus with the unproblematic steps given hither.

Construction of Rhombus Given Length of Two Diagonals

A rhombus is a quadrilateral with sides of equal length. Opposite sides are parallel and opposite vertex angles are equal. Let us say, you are required to construct a rhombus PQRS with the lengths of its two diagonals, PR = 6 cm and SQ = vii cm. We know that the diagonals of a rhombus bisect each other at xc degrees. Hence, nosotros do non crave any other dimension for the construction of rhomb. The steps are:

Step 1: Draw a vertical line segment PR of length half dozen cm.

Step ii: Take the compass of any radius and from the point P, marking an arc towards the left and the other towards the right of PR. Echo the same from point R without changing the compass radius.

Step 3: The other diagonal measures 7 cm. Thus, describe a line joining the ii points where the arc intersected each other in such a way that OS = OQ = 7/two = 3.5 cm

Step 4: Bring together the indicate P with Q, Q with R, R with S and S with P.

PQRS is the required rhombus with the diagonals of lengths half dozen cm and vii cm. Note that O is the mid-betoken of the two diagonals and ∠POQ = ∠QOR = ∠ROS = ∠SOP = 90 degrees.

Structure of Rhombus Given I Side and One Angle

If we are provided with ane side and ane angle of a rhombus, then follow the below steps to construct the rhombus.

Depict the line segment of the given length, say AB
At i endpoint of the line segment, describe an angle of a given mensurate, say∠BAX
With A as center and length equal to AB, draw an arc cutting the ray AX at D
Now with D as middle and radius equal to AB, draw an arc
Taking B as center and with same radius, cutting the previous arc at C
Now join DC and BC

Hence, ABCD is the required rhomb.

An example figure is given below.

Construction of Rhombus Given One Side and One Angle

Construction of Rhomb Given i Diagonal and ane Side

If nosotros are given with length of one diagonal and i side, then we tin 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 diagonal draw an arc on the correct side of point A and above B
With B as center and radius equal to AB, cutting the previous arc at C
With C every bit heart and radius equal to AB, draw an arc
With A every bit eye and same radius, cut the previous arc at D
Bring together Advertizement, BC and CD

Hence, ABCD is the required rhomb.

An example figure is given below.

Construction of Rhombus Given one Diagonal and one Side

Properties of Rhomb
Construction Of Quadrilaterals
Construction Of Square
Constructing Triangles
Structure Of Angles
Construction Of Similar Triangles

Do Questions

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

Construct a rhomb with side PQ = 6 cm and angle P = lx degrees
Construct a rhombus, with the length of i diagonal equal to 4.iv cm and another diagonal equal to 8 cm.

Frequently Asked Questions – FAQs

How to construct a rhombus?

A rhomb can be synthetic if these details are bachelor:
Length of its two diagonals or,
Length of its side and measure of one angle or,
Length of its side and i diagonal

What are the properties of diagonal?

The sides of the diagonal are equal in length. The diagonals of a rhomb bisect each other at 90 degrees. The opposite sides of a rhombus are parallel and opposite angles are equal in mensurate.

How to construct a rhombus when diagonals are given?

Draw the line segment equal to the length of the longest diagonal, say AB
Draw the perpendicular bisector of AB, that intersect AB at O
With O every bit eye and radius equal to half of the length of some other given diagonal, draw an arc on both sides of Air-conditioning, to intersect the perpendicular bisector at B and D
At present bring together AB, BC, CD and Advert
ABCD is the required rhomb