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