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A triangle [tex]\(\Delta ABC\)[/tex] has vertices at [tex]\(A(0, 0)\)[/tex], [tex]\(B(-4, 0)\)[/tex], and [tex]\(C(-2, 4)\)[/tex]. Each coordinate of the vertices is multiplied by 3 to form triangle [tex]\(\Delta AEF\)[/tex]. Determine if [tex]\(\Delta ABC\)[/tex] is similar to [tex]\(\Delta AEF\)[/tex]. Explain your answer.

A. No, they are not similar because the corresponding angles are not congruent.
B. No, they are not similar because the corresponding sides are not proportional.
C. Yes, they are similar with a scale factor of 1:3.
D. Yes, they are similar with a scale factor of 0:3.

Please select the best answer from the choices provided.

Sagot :

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