Use the image to answer the question.

Question

A square split into four separate and equal boxes shows four shapes at different scales as follows: A star at a scale of 1 to 5; an octagon at a scale of 20 to 0.5; a triangle at a scale of 10 to 1; and a pentagon at a scale of 1 to 0.1.
Which scale drawing is a dilation that decreased the size of the original object it represents? Figure 1 is the star with 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 the pentagon with scale 1:0.1
.

(1 point)
Figure

Answer 1

To determine which scale drawing is a dilation that decreased the size of the original object, we need to look for scales where the original size is larger than the dilated size.

1. Figure 1 (Star) - Scale 1:5: The scale factor is 1 to 5, which means the original shape's size is divided into 5 parts to get the new size. This indicates a decrease in size.

2. Figure 2 (Octagon) - Scale 2:0.5: The scale factor indicates that the original octagon's size is divided by 4 (since 2 divided by 0.5 equals 4). This also indicates a decrease in size.

3. Figure 3 (Triangle) - Scale 10:1: The scale indicates that the original triangle's size is multiplied by 0.1 (since 10 divided by 1 equals 10). This indicates an increase in size.

4. Figure 4 (Pentagon) - Scale 1:0.1: The scale indicates that the original pentagon's size is multiplied by 10 (1 divided by 0.1 equals 10). This indicates an increase in size.

The scales that indicate a decrease are for the star (Figure 1) and the octagon (Figure 2). However, since the question only asks for one figure, we can choose Figure 1 (Star) as it is clearly a dilation that decreased the size of the original object it represents.

So, the answer is: Figure 1.