Two triangles of the same shape are always

A. similar
B. equilateral
C. congruent
D. equal

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Similar.

The correct answer is A. similar.

To understand why, let's first define what it means for two triangles to be similar. Two triangles are considered similar if their corresponding angles are equal, and the corresponding sides are proportional in length.

In this case, we are given that the two triangles have the same shape. When two triangles have the same shape, it means that their corresponding angles are equal. Therefore, one of the conditions for similarity is satisfied.

However, for two triangles to be congruent (choice C), they must not only have the same shape but also have the same sizes for all corresponding sides and angles. Since there is no information given about the sizes of the sides, we cannot conclude that the triangles are congruent.

Similarly, equilateral triangles (choice B) have all three sides of equal length. Without any information about the side lengths of the triangles in question, we cannot determine if they are equilateral.

Finally, the term "equal" (choice D) is ambiguous when referring to triangles. It could refer to the triangles having equal side lengths or angles, which is not necessarily the case. Therefore, choice D is not correct.

In conclusion, when two triangles have the same shape, they are always similar.