5. A figure is dilated by a factor of 2.5 . By what factor will the perimeter of * 10 the figure change? 1 2.5 5 6.25

When a figure is dilated, every linear dimension, including the perimeter, is multiplied by the same factor as the dilation. In this case, since the figure is dilated by a factor of 2.5, the perimeter will also be multiplied by 2.5. So, the answer is **2.5**! However, let's not forget that the area of the figure will transform differently. The area will be scaled by the square of the dilation factor, which means if we dilate by 2.5, the area will increase by \(2.5^2 = 6.25\). So, while the perimeter is just multiplied by 2.5, the area gets a little extra boost! Keep these distinctions in mind when working with transformations!