mrtaylorbrannon
contestada

After a dilation from the origin, ∆ABC maps onto ∆DEF. Which of the following statements is true?

m∠C = 4 · m∠F
line segment BA is congruent to segment ED
∠E ≅ ∠B
line segment AB over line segment DE is equal to line segment BC over line segment AC

Respuesta :

mhanifa

Answer:

  • C) ∠E ≅ ∠B

Step-by-step explanation:

Given

  • ∆ABC ~ ∆DEF

Choices

  • A) m∠C = 4 · m∠F, Incorrect as dilation doesn't change angles
  • B) line segment BA is congruent to segment ED, Incorrect as corresponding sides are of different length
  • C) ∠E ≅ ∠B, Correct as E and B are corresponding angles of similar triangles
  • D) line segment AB over line segment DE is equal to line segment BC over line segment AC, Incorrect, the correct one should be EF instead of AC

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