1.

. Theorem 6.3: lf in two triangles, corresponding angles are equal, then theirs corresponding sides are in the same ratio (or proportion) and hence the, triangles are similartwo

Answer»

In ∆ ABC and ∆ DEF,∠ A = ∠ D∠ B = ∠ E∠ C = ∠ FLet us draw a line PQ so that DP = AB and DQ = ACSo, ∆ ABC ≅ ∆ DPQSo, ∠ B = ∠ P = ∠ E and PQ ll EF, because by making a similar triangle like ABC theline PQ bisects lines DE and DF in the same ratio.

Hence,AB/DE=BC/DFSo, ∆ ABC ≈ ∆ DEF proved



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