Answer: The scale factor is 1/2.
Step-by-step explanation: A scale factor is a number that multiplies the dimensions of a shape to produce a similar shape. A similar shape has the same angles and proportions as the original shape, but not necessarily the same size.
The Sierpinski triangle is a fractal that is made by repeatedly removing triangular subsets from an equilateral triangle. Each iteration of the Sierpinski triangle contains three smaller triangles that are similar to the original triangle, and each of these triangles can be magnified by a factor of 2 to give the entire triangle.
Therefore, the scale factor that takes the original triangle to one of its smaller copies is 1/2. This means that the length of each side of the smaller triangle is half of the length of the corresponding side of the original triangle.
Hope this helps, and have a great day! =)