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    Mathematics
    Grade9
    Easy

    Question

    In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if

    1. BC = EF
    2. AC = DE
    3. AC = EF
    4. BC = DE

    hintHint:

    The SAS (side-angle-side) states that two given triangles are congruent if a triangle's two sides and the angle formed between those sides are equal to that of the other triangle. In the question, it is given that AB = DF and angle A equals angle D. So, to make two triangles congruent by SAS we need to have the other adjacent side of the angle equal.

    The correct answer is: AC = DE

      The  two triangles will be congruent if AC=DE. 

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