Answer the following questions related to the side–angle–side criterion for…

MATHEMATICS · Multi-part · CBSE · Mathematics · Triangles · Triangles

Problem

Answer the following questions related to the side–angle–side criterion for similarity of triangles. (i) State the side–angle–side (SAS) similarity criterion in your own words. (ii) Explain why the angle mentioned in the criterion must be the included angle between the two sides. (iii) Give a concrete numerical example of two triangles that satisfy ABDE=ACDF\dfrac{AB}{DE} = \dfrac{AC}{DF} and ∠B=∠E\angle B = \angle E but are not similar, and briefly justify why similarity fails in your example.

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