Question

Construct a rhombus ABCD with AB= 5.0 cm and AC= 8 cm. Draw its lines of symmetry.

Answer 1

Steps of construction : 

(i) Draw a line segment AB = 5 cm 

(ii) With A as centre and radius 8 cm, and 8 as centre and radius 5 cm, draw arcs which intersect each other at C. 

(iii) Join AC and BC. 

(iv) Again with centre A and C and radius 5 cm, draw arcs which intersect each other at D 

(v) Join AD and CD. ABCD is the required rhombus. 

(vi) Join BO. 

Two diagonals AC and BO are the lines of symmetry .