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If the ratio of each of the corresponding side lengths of two triangles is equal to the ratio of their perimeters and their areas, which of the following must be true?

I. The triangles are similar.
II. The triangles are congruent.
III. The triangles are equilateral.

A

I only.

B

II only.

C

I and II only.

D

I and III only.

E

I and II only.

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