Question

Scale Drawings Practice
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Question
Use the image to answer the 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 represents a dilation that decreased the size of the original object, we need to examine the scales given for each shape:

1. **Figure 1 (Star)**: Scale 1:5 - This means that the original size is multiplied by \( \frac{1}{5} \), thus it has decreased in size.

2. **Figure 2 (Octagon)**: Scale 20:0.5 - This scale is not a typical way to express a scale drawing. If we interpret this as 20 times smaller (meaning to get from 20 to 0.5, you would also divide by 40), we would also infer a decrease in size.

3. **Figure 3 (Triangle)**: Scale 10:1 - This scale means the size of the original object is multiplied by 10 (it has increased in size).

4. **Figure 4 (Pentagon)**: Scale 1:0.1 - This indicates that the original size is multiplied by 10, meaning it has also increased in size.

Based on the interpretations:

- **Figure 1 (Star)** is a dilation that decreased the size of the original object it represents.

So the correct answer is **Figure 1 (Star)**.