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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