dianawinsemius dianawinsemius
  • 22-03-2021
  • Mathematics
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Find the scale factor of the figures. Then list all pairs of congruent angles.

DEFG∼PQRS

k=

Find the scale factor of the figures Then list all pairs of congruent angles DEFGPQRS k class=

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sqdancefan
sqdancefan sqdancefan
  • 23-03-2021

9514 1404 393

Answer:

  k = 1/3

  ∠D ≅ ∠P

  ∠E ≅ ∠Q

  ∠F ≅ ∠R

  ∠G ≅ ∠S

Step-by-step 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

__

Corresponding angles are listed in the same order by the similarity statement.

  ∠D ≅ ∠P

  ∠E ≅ ∠Q

  ∠F ≅ ∠R

  ∠G ≅ ∠S

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