How to show opposite sides on a parallelogram are congruent

Mathematics

1 answer:

Marta_Voda [28]3 years ago

8 0

Answer:

I am attaching a image to understand my proof.

Step-by-step explanation:

PROVE:-

AB = DC

AD = BC

∠ ABD = ∠ BDC (alternate angles are equal )

∠ DBC = ∠ ADB (alternate angles are equal )

∴ Δ ADB ≅ Δ CBD ( by ASA rule )

DC = BA ( corresponding sides of ≅ Δ )

AD = CB ( corresponding sides of ≅ Δ )

Hence it is proved that opposite sides of parallelogram are congruent )

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