6. A figure is dilated by a factor of 0.5 . By what factor will the area of the * 10 figure change? 0.25 0.5 1 1.5

When a figure is dilated by a factor of 0.5, each linear dimension of the figure is multiplied by 0.5. However, since area is a two-dimensional measurement, the area factor is the square of the scale factor. So, you would calculate (0.5)², which equals 0.25. Therefore, the area of the figure will change by a factor of 0.25. Think of it this way: if you have a square with a side length of 2 units, its area is 4 square units. If you then dilate it by 0.5, each side becomes 1 unit long, and its new area is 1 square unit. That’s a dramatic reduction – specifically, to a quarter of the original area!