Question

4. In figure given below, it is given that AD = BC and ∆ABD ≅ ∆BAC . Name the

criterion by which the triangles are congruent.
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Answer 1

Explanation:

In △ABD and △ACD

AB=AC (given)

BD=CD (given)

AD=AD (common side)

Now three corresponding sides of given triangles are equal.

∴△ABD≅ACD by SSS congruency criteria.