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

Question

1
:
5
, Figure 2 is the octagon with scale 2:0.5
2
:
0.5
, Figure 3 is the triangle with scale 10:1
10
:
1
, and Figure 4 is the pentagon with scale 1:0.1
1
:
0.1
.

Answer 1

To determine which scale drawing represents a dilation that decreased the size of the original object, we need to analyze the scale ratios provided for each figure.

1. Figure 1 (Star): Scale 1:5 means that the image is 1/5 the size of the original. This is a reduction.

2. Figure 2 (Octagon): Scale 2:0.5 means that the image size is 2 times larger than the scale of 0.5 when compared to the original. This is technically an increase since we can think of it as a ratio of sizes (2/0.5 = 4), making this larger.

3. Figure 3 (Triangle): Scale 10:1 means that the image is 10 times larger than the original. This is also an increase.

4. Figure 4 (Pentagon): Scale 1:0.1 means that the image is 1/0.1 or 10 times larger than the original. This is an increase too.

Based on this analysis, Figure 1 (Star) is the only one that represents a dilation that decreased the size of the original object.