Q. In fig.9 PQ=SR and PS=QR. prove that ∆PQR=∆RSP
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Answer:
Vertically Opposite angles
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Given :-
✰ Two triangles, ∆ PQR and ∆ RSP
✰ PQ = SR
✰ PS = QR
To Prove :-
∆ PQR ≅ ∆ RSP
Criterion Used :-
✰ SSS criteria for congruency
Solution :-
In ∆ PQR and ∆ RSP,
- PQ = SR (Given)
- PS = QR (Given)
- RP = PR (Common)
Therefore, by Side-Side-Side criteria for congruence.
∆ PQR ≅ ∆ RSP
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