Question

Please answer this question fast I will mark as brainiest please​

Answer 1

Answer:

In △BAD, P and S are mid-points of AB and BD

⇒ PS∥AD and PS= 21 AD --- ( 1 ) [ By BPT ]

Similarly in △CAD,

⇒ OR∥AD and QR= 1/2 AD --- ( 2 )

From ( 1 ) and ( 2 ), we get

⇒ PS∥QR and PS=QR= 1/2 AD ------ ( 3 )

In △BDC, we get

⇒ SR∥BC and SR= 1/2BC ----- ( 4)

And in △ABC

PQ∥BC and PQ= 1/2 BC ------ ( 5 )

⇒ PQ∥SR, PQ=SR= 1/2 BC ---- ( 6 )

[ From ( 4 ) and ( 5 ) ]

∴ □PQRS is a parallelogram.

Now, AD=BC

∴

1/2 AD= 1/2 BC

∴ PS=QR=PQ=SR [ From ( 3 ) and ( 6 ) ]

∴ □PQRS is a rhombus.