presleyreeves13 presleyreeves13
  • 14-02-2021
  • Mathematics
contestada

Are the triangles similar? If so state the similarity and the postulate or theorem that justifies your answer.

Are the triangles similar If so state the similarity and the postulate or theorem that justifies your answer class=

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akposevictor
akposevictor akposevictor
  • 19-02-2021

Answer:

A

Step-by-step explanation:

∆ABC is similar to ∆DEF if and only if the ratio of their corresponding side lengths are the same.

Let's find out:

DE/AB = 10/5 = 2

EF/BC = 8/4 = 2

FD/CA = 12/6 = 2

The ratio of their corresponding side lengths are equal, therefore, ∆ABC is similar to ∆DEF based on the SSS Similarity Theorem.

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