Q. 24.5( 44 Votes )

Show that the dia

Answer :


Given :- ABCD is a rhombus


Formula used :-


*SSS congruency rule


If all sides of both triangles are equal then both triangles are congruent


*properties of rhombus


Solution :-


In Δ AOD and Δ COB


AO=OC [diagonal of Rhombus bisect each other]


OD=OB [diagonal of Rhombus bisect each other]


AD=BC [all sides of rhombus are equal]


Δ AOD Δ COB


In Δ AOB and Δ COD


AO=OC [diagonal of Rhombus bisect each other]


OD=OB [diagonal of Rhombus bisect each other]


CD=BA [all sides of rhombus are equal]


Δ AOB Δ COD


In Δ AOB and Δ AOD


AO=AO [Common in both triangles]


OD=OB [diagonal of Rhombus bisect each other]


AD=AB [all sides of rhombus are equal]


Δ AOB Δ AOD


All four triangles divide by diagonals of triangle are congruent


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