Answer :

In ΔABC & ΔQ^{’}P^{’}R,

∠A = ∠Q^{’}

∠B = ∠P^{’}

∠C = ∠R^{’}

Thus, ΔABC~ΔQ^{’}P^{’}R^{’} |AAA Similarity Rule

In ΔMNP & ΔZXY,

∠M = ∠Z

∠P = ∠Y

Thus, ΔMNP~ΔZXY |AA Similarity Rule

In ΔPQR & ΔEFG,

Thus, the corresponding sides are proportional.

Thus, ΔPQR~ΔEFG |SSS Similarity Rule

In ΔE^{’}G^{’}F^{’} & ΔNML,

∠E^{’}G^{’}F^{’} = ∠NML

Thus, the corresponding sides are proportional with the angle between them equal.

Thus, ΔE^{’}G^{’}F^{’}~ΔNML |SAS Similarity Rule

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