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Amongst which of the following statement is True about the Transitivity property of a triangle?

42. Amongst which of the following statement is True about the Transitivity property of a triangle?

  1. The transitivity property states that A triangle () is similar to itself.
  2. Transitivity property states that: If △ ABC ∼ △ DEF, Then △ DEF ∼ △ ABC
  3. Transitivity property states that: If△ ABC ∼△ DEF and△ DEF ∼△ XYZ, then △ ABC ∼△ XYZ
  4. All of the above

Answer

The correct answer is: C) Transitivity property states that: If△ ABC ∼△ DEF and△ DEF ∼△ XYZ, then △ ABC ∼△ XYZ

Explanation

According to the Transitivity property of triangle similarity, if two triangles are similar to one another and one of them is similar to a third triangle, then the first triangle is also similar to the third triangle.

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