In PPQRS, side RQ ll side RS and side QR ll sides PS prove that ∆ PQR = ∆RSP
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Answer:
By SAS congruency PQR =RSP
Step-by-step explanation:
As oppose. side are parallel so it is a llgm .
in tri. PQR and RSP
PS = RQ ( OPPO. side are equal)
PQ =RS. ( same )
ang. SPR = ang. RSP ( alternate Interior Angle)
hence,
TrianglePQR = TriangleRSP
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Given that:-
- Quadrilateral PQRS
- RQ // RS
- QR // PS
Prove :-
- ∆ PQR = ∆ RSP
In ∆ PQR and ∆ RSP
- PS = QR (:. Opposite sides)
- PQ = RS (:. Opposite sides)
- Angle PQR = Angle RSP (:. Alternate interior angles)
By SAS congruency,
- ∆PQR ≅ ∆PSR ✔️
Hence proved
- ∆PQR = ∆RSP
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