Class 8 Exam > Class 8 Notes > Construction of Rhombus - Geometrical Constructions, Class-8, Math
Construction of Rhombus - Geometrical Constructions, Class-8, Math - Class 8 PDF Download
How can we construct a rhombus when a side of 6cm and an angle of 60 degree are given ?
Ref: https://edurev.in/question/610100/How-can-we-construct-a-rhombus-when-a-side-of-6cm-and-an-angle-of-60-degree-are-given-
Construction of rhombus
A rhombus is a quadrilateral with all sides of equal length.
The diagonals of a rhombus bisect each other at right angles.
OA = OC and OB = OD
Construct a rhombus given one side and one angle:
Construct a rhombus ABCD in which AB = 6 cm and Angle A = 60Steps of construction:
Step 1: Draw line segment AB = 6 cm.
Step 2: Construct Angle BAX = 60.
Step 3: With A as the centre and radius equal to 6 cm , draw an arc on ray AX.
Step 4: Mark the point of intersection as D.
Step 5: With D as the centre and radius equal to 6 cm, draw an arc.
Step 6: With B as the centre and the same radius, draw another arc such that it intersects the previous arc at C.
Step 7: Join points C, D and points C, B.
ABCD is the required rhombus.
FAQs on Construction of Rhombus - Geometrical Constructions, Class-8, Math - Class 8
| 1. What is a rhombus? |  |
Ans. A rhombus is a quadrilateral with all four sides of equal length. Its opposite sides are parallel to each other, and opposite angles are also equal. It is a special type of parallelogram.
| 2. How to construct a rhombus? | |
Ans. To construct a rhombus, follow these steps:
1. Draw a line segment of any length.
2. From both endpoints of the line segment, draw arcs with the same radius.
3. The intersection of these arcs will give you two more points.
4. Connect these points to form a quadrilateral. This quadrilateral is a rhombus.
| 3. What are the properties of a rhombus? | |
Ans. The properties of a rhombus are as follows:
1. All four sides of a rhombus are equal in length.
2. Opposite sides of a rhombus are parallel to each other.
3. Opposite angles of a rhombus are equal.
4. The diagonals of a rhombus bisect each other at right angles.
5. The diagonals of a rhombus are perpendicular bisectors of each other.
| 4. How do we differentiate a rhombus from other quadrilaterals? | |
Ans. A rhombus can be differentiated from other quadrilaterals based on its properties:
1. All four sides of a rhombus are equal in length, while other quadrilaterals may have unequal sides.
2. Opposite sides of a rhombus are parallel to each other, while in other quadrilaterals, this may not be the case.
3. The diagonals of a rhombus bisect each other at right angles, while in other quadrilaterals, the diagonals may not be perpendicular or bisect each other.
| 5. What is the formula for the area of a rhombus? | |
Ans. The formula for the area of a rhombus is:
Area = (diagonal1 * diagonal2) / 2
where diagonal1 and diagonal2 are the lengths of the diagonals of the rhombus.
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