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Triangles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsTriangles1 Mark
MCQ
In $\triangle\text{ABC}$ and $\triangle\text{PQR}, AB = PR$ and $\angle\text{A} = \angle\text{P}.$ Then, the two triangles will be congruent by $SAS$ axiom if:
  • A
    $BC = QR$
  • ✓
    $AC = PQ$
  • C
    $BC = PQ$
  • D
    $AC = QR$
✓

Answer

Correct option: B.
$AC = PQ$
$\angle\text{A}$ is included between $AB$ and $AC$ and $\angle\text{P}$ is included between $PQ$ and $PR$ and corresponding sides must be equal. Since $AB = PR$, hence $AC = PQ$ for the given triangles to be congruent by $SAS$ axiom.

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