Question

send me construction of rhombus

Answer 1

Construct a rhombus ABCD in which AB = 6 cm and Angle A = 60
Steps 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.

Construct a rhombus given one side and one diagonal:
Construct a rhombus ABCD in which  AB = 5.4 cm and AC = 7.4 cm

Steps of construction:
Step 1: Draw line segment AB = 5.4 cm .
Step 2: With B as the centre and radius equal to 5.4 cm , draw an arc.
Step 3:  With A as the centre and radius equal to 7.4 cm, draw another arc such that it intersects the previous arc at C.
Step 4: Join points B,C and points A, C.
Step 5:  With A as the centre and radius equal to 5.4 cm, draw an arc.
Step 6:  With C as the centre and the same radius, draw another arc such that it intersects the  previous arc at D.
Step 7: Join points D, A and points D, C.
ABCD is the required rhombus.
Construction of rhombus given two diagonals:
Construct a rhombus ABCD in which diagonal AC = 8 cm and diagonal BD = 6.2 cm .
The diagonals of a rhombus bisect each other at right angles.
Therefore, in rhombus ABCD, AO = OC and BO = OD .
 AC = 8 cm and BD = 6.2 cm (given)
OB = OD = 3.1 cm ( Diagonals of a rhombus