Choice A is correct. It’s given that each side of equilateral triangle S is multiplied by a scale factor of k to create equilateral triangle T. Since the length of each side of triangle T is greater than the length of each side of triangleS, the scale factor of k must be greater than 1. Of the given choices, only2928is greater than 1.
Choice B is incorrect. If each side of equilateral triangle S is multiplied by a scale factor of 1, the length of each side of triangle T would be equal to the length of each side of triangle S. Choice C is incorrect. If each side of equilateral trianglenS is multiplied by a scale factor of 2829 , the length of each side of triangle T would be less than the length of each side of triangleS. Choice D is incorrect and may result from conceptual or calculation errors.