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Triangles — MATHS STD 9 — Question

Rajasthan BoardEnglish MediumSTD 9MATHSTriangles1 Mark
Question
In $\angle\text{ABC}$ and $\angle\text{DEF},$ AB = DE and $\angle\text{A} = \angle\text{D}.$ Then, the two triangles will be congruent by SAS axiom if:
✓

Answer

  1. AC = DF
    Solution:
    The SAS rule states that:
    If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent.
    Here, in $\angle\text{ABC},$ the two sides are AB and AC and the included angle is $\angle\text{A}.$ For $\angle\text{DEF},$ the two corresponding sides are DE and DF and the included angle is $\angle\text{D}.$
    Hence, the two triangles will be congruent by SAS axiom if AC = DF.

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