Final answer:
The unique triangle that cannot be rearranged into different sizes or shapes is an equilateral triangle.
Step-by-step explanation:
The correct answer is C) Equilateral triangle.
An equilateral triangle is a unique triangle that cannot be rearranged into different sizes or shapes. It is a type of triangle where all three sides are equal in length and all three angles are equal.
Unlike scalene triangles, which have different side lengths and angles, and isosceles triangles, which have two sides of equal length, an equilateral triangle maintains its shape and size regardless of how it is arranged.