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Answer:
k = 1/3
∠D ≅ ∠P
∠E ≅ ∠Q
∠F ≅ ∠R
∠G ≅ ∠S
Explanation:
The scale factor is the ratio of corresponding side lengths. It is convenient to choose one of the sides that has length 1.
k = QR/EF
k = 1/3
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Corresponding angles are listed in the same order by the similarity statement.
∠D ≅ ∠P
∠E ≅ ∠Q
∠F ≅ ∠R
∠G ≅ ∠S