MCQ
In triangles $ABC$ and $PQR$, if $\angle\text{A}=\angle\text{R},\ \angle\text{B}=\angle\text{P}$ and $AB = RP$, then which one of the following congruence conditions applies:
  • A
    $SSS$
  • B
    $RHS$
  • $ASA$
  • D
    $SAS$

Answer

Correct option: C.
$ASA$
Since, the two adjacent angles and the contained side are shown equal while proving the two triangles congruent. Hence, by $A.S.A.$ theorem the two triangles can be proved congruent.

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