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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
  • B
    AC = PQ
  • C
    BC = PQ
  • D
    AC = QR
✓

Answer

  1. AC = PQ
    Solution:
    $\angle\text{A}$ 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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