Q. 1105.0( 2 Votes )

# State whether the

Answer :

FALSE  Consider rhombus ABCD,

You know that , AB=BC=CD=AD Now , in ΔAED and ΔCED, EA = EC (diagonals of a parallelogram bisect each other) ED= ED (common) AD=CD

ΔAED is congruent to ΔCED (SSS) This gives that AED = CED (CPCT)

But, AED + CED = 180° (linear pair) So , 2 × AED = 180° AED = 90° So , the diagonals of rhombus are only perpendicular to each other.

the diagonals of rhombus are perpendicular but not equal.

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