Question

Find the scale factor of the figures. Then list all pairs of congruent angles.

DEFG∼PQRS

k=

Answer 1

9514 1404 393

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