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Triangles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsTriangles1 Mark
MCQ
In triangles ABC and DEF, AB = FD and $\angle\text{A} = \angle\text{D}.$ The two triangles will be congruent by SAS axiom if:
  • A
    AC = EF
  • B
    BC = EF
  • C
    AC = DE
  • D
    BC = DE
✓

Answer

  1. AC = DE
    Solution:
    Given: $\triangle\text{ABC}$ and $\triangle\text{DEF}, \ \text{AB = FD}$ and $\angle\text{A} = \angle\text{D}$

    The two triangles will be congruent by SAS axiom if two sides including one angle of one triangle is equal to the another triangle.
    Hence, AC = DE (As $\angle\text{A}$ is between AB and AC)

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