In the given figure, PQ = CB, PA = CR, ∠P = ∠C. Is ΔQPR ≅ ΔBCA? If yes, state the criterion of congruence.
A
ASA
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B
SSS
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C
SAS
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D
RHS
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Solution
The correct option is C SAS Given:
PQ = CB, PA = CR
and ∠P = ∠C
In ΔQPR and ΔBCA,
PQ = CB (Given)
∠QPR = ∠BCA (Given)
PA = CR (Given)
PA + AR = CR + AR (Adding AR to both sides)
or PR = CA
ΔQPR ≅ ΔBCA (By SAS rule)