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Congruent Triangles — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsCongruent Triangles1 Mark
MCQ
In triangles $\text{ABC}$ and $\text{PQR},$ if $\angle\text{A}=\angle\text{R},\angle\text{B}=\angle\text{P}$ and $\text{AB}=\text{RP},$ then which one of the following congruence conditioins applies:
  • A
    $\text{SAS}$
  • ✓
    $\text{ASA}$
  • C
    $\text{SSS}$
  • D
    $\text{RHS}$
✓

Answer

Correct option: B.
$\text{ASA}$
From given conditions,
$\angle\text{B}=\angle\text{P}$
$\angle\text{A}=\angle\text{R}$
And the side containing then is also equal
i.e $\text{AB}=\text{PR}$
So $\text{ASA}$ property.
Hence, correct option is $(b)$.

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