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Question
In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if ______.
Options
BC = EF
AC = DE
AC = EF
BC = DE
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Solution
In triangles ABC and DEF, AB = FD and ∠A = ∠D. The two triangles will be congruent by SAS axiom if AC = DE.
Explanation:
Given, in ΔABC and ΔDEF,
AB = DF and ∠A = ∠D
We know that, two triangles will be congruent by ASA rule, if two angles and the included side of one triangle are equal to the two angles and the included side of other triangle.
∴ AC = DE
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