Suppose BC is a given line segment in the plane and T is a scalene triangle. The number of points A in the plane such that the triangle with vertices A, B, C (in some order) is similar to triangle T is

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Correct answer: C. 12

Let triangle T is DEF possibilities A can take two positions if ABC DEF We can arrange order of A, B, C in 3 !=6 ways Total positions which A can take =6 2=12

Suppose BC is a given line segment in the plane and T is a scalene triangle. The number of points A in the plane such that the triangle with vertices A, B, C (in some order) is similar to triangle T is

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