which scale drawing is a dilation that decrease the size of the original object represents figure one is the star scale 1 : 5 figure 2 is the octagon with scale 2 : 0.5 Figure 3 is the triangle with scale 10 : 1 and figure 4 is a pentagon with scale 1 : 0.1
To determine which scale drawing represents a dilation that decreases the size of the original object, we can compare the scale factors of each figure. A dilation is a transformation that either enlarges or reduces the size of the original object while maintaining its proportion.
Let's analyze the given figures:
Figure 1: Star, scale 1:5
Figure 2: Octagon, scale 2:0.5
Figure 3: Triangle, scale 10:1
Figure 4: Pentagon, scale 1:0.1
To decrease the size of a shape, the scale factor should be less than 1. Looking at the scale factors:
Figure 1: Scale factor = 1/5 = 0.2
Figure 2: Scale factor = 2/0.5 = 4
Figure 3: Scale factor = 10/1 = 10
Figure 4: Scale factor = 1/0.1 = 10
Among the given options, the only figure that has a scale factor less than 1, indicating a decrease in size, is Figure 1 (the star) with a scale of 1:5.
Therefore, the scale drawing that represents a dilation decreasing the size of the original object is Figure 1 (the star) with a scale of 1:5.