False: A triangle will only tessellate if it's in the form of an equilateral triangle.
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The statement is false. An isosceles triangle has at least two sides that are congruent, not necessarily three. A triangle with three congruent sides is called an equilateral triangle, which is a specific type of isosceles triangle.
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A false statement
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As written, the statement is false. You can't have it both ways. I suspect you meant to write that dilating a triangle changes the size or area of the triangle but does not change its shape. That would be true.