Q131 of 160 Page 144

State whether the statements are true (T) or false (F).

A rhombus can be constructed uniquely if both diagonals are given.

TRUE

Here only 2 measurements of the rhombus are given ie. The diagonals.


However , since it is a rhombus , we can find more help from its properties.


The diagonals of a rhombus are perpendicular bisectors of one another.


So, first draw AC (any one diagonal) and then construct its perpendicular bisector. Let them meet at E. Cut off half the length of second diagonal on either side of the drawn bisector.


You now get B and D.


Similarly, get A and C, draw the rhombus now.



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