Q. 25.0( 1 Vote )

ABCD is a parallelogram. Prove that ABD and BDC are similar.

Answer :


Given ABCD is a gram


To prove : - Δ ABD Δ BDC


Proof :- For the correspondence ABD CDB between ΔABD and Δ BDC


BAD DCB (opposite s of a gram


ABD CDB (alternate s)


ADB CDB (alternate s)


AB = CD (opposite sides of a gram ABCD )



Also AD = CB (opposite sides of a gram ABCD)


= 1


And BD = DB (common)


= 1


Hence, for the correspondence, ABD CDB between ΔABD and ΔBDC


The corresponding angles are congruent and the lengths of its corresponding sides are in proportion.


for the correspondence ABD CDB, ΔABD and ΔBDC are similar.


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