Mathematics

Mathematics

Problem

(a) Define the term “included angle” of two sides of a triangle. (b) In △ABC\triangle ABC and △DEF\triangle DEF, it is given that AB=DEAB = DE, AC=DFAC = DF and ∠B=∠E\angle B = \angle E. A student claims that the two triangles are congruent on the basis of this information. Examine the claim and give a clear reasoned answer. (c) For the same two triangles, write one more piece of information (other than those already stated) that, together with the given data, will certainly make the two triangles congruent. Justify your answer.

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