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Get Answers to all your Questions
Q : 3 Show that if the diagonals of a quadrilateral bisect each other at right angles, then it is a rhombus.
Answers (1)
Given: the diagonals of a quadrilateral bisect each other at right angles i.e.BO=OD.
To prove: ABCD is a rhombus.
Proof : In AOB and
AOD,
(Each
)
BO=OD (Given )
AO=AO (common)
AOB
AOD (By SAS)
AB=AD (CPCT)
Similarly, AB=BC and BC=CD
Hence, it is a rhombus.
View full answer
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