⇒ PQ=OR=RS=SP [ Given ]
⇒ ∠SPR=∠SRP [ Base angles of equal sides also equal ]
⇒ ∠PRQ=∠RPQ [ Base angles of equal sides also equal ]
∴ ∠SPR=∠SRP=∠PRQ=∠RPQ (because geometry is a Rhombus)
In △PRS and △PRQ
⇒ PR=PR [ Common side ]
⇒ RS=QR [ Given ]
⇒ SP=PQ [ Given ]
∴ △PRS≅△PRQ [ By SSS congruence rule ]
Now,
⇒ SR=PQ
⇒ ∠SRP=∠RPQ [ From ( 1 ) ]
⇒ PR=RP [ Common side ]
∴ △PRS≅△PRQ [ By SAS congruence rule ]
Now,
⇒ ∠SRP=∠RPQ [ From ( 1 ) ]
⇒ PR=RP [ Common side ]
⇒ ∠SPR=∠PRQ [ From ( 1 ) ]
∴ △PRS≅△PRQ [ By ASA congruence rule ]