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
Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
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
Answers
GPT-4o mini
To determine which scale drawing represents a dilation that decreased the size of the original object, we need to look at the scale ratios.
- Figure 1: Star (scale 1:5) means the original size is 1 unit, and it has been scaled down to 5 units. This indicates a decrease in size.
- Figure 2: Octagon (scale 20:0.5) means the original size is 20 units, and it has been scaled down to 0.5 units, indicating a decrease in size.
- Figure 3: Triangle (scale 10:1) means the original size is 10 units, and it has been scaled down to 1 unit, indicating a decrease in size.
- Figure 4: Pentagon (scale 1:0.1) means the original size is 1 unit, and it has been scaled down to 0.1 units, indicating a decrease in size.
In this case, all figures show a decrease in size relative to their original object because all their scales represent a reduction. To answer the question correctly, you would choose the first figure whose scale indicates a clear dilation that resulted in a smaller representation.
However, since the problem appears to frame this as a choice, if we need to choose just one, **Figure 1: The star with scale 1:5** is an appropriate answer as it displays clear evidence of a decrease in size when the scale ratio is considered.
- Figure 1: Star (scale 1:5) means the original size is 1 unit, and it has been scaled down to 5 units. This indicates a decrease in size.
- Figure 2: Octagon (scale 20:0.5) means the original size is 20 units, and it has been scaled down to 0.5 units, indicating a decrease in size.
- Figure 3: Triangle (scale 10:1) means the original size is 10 units, and it has been scaled down to 1 unit, indicating a decrease in size.
- Figure 4: Pentagon (scale 1:0.1) means the original size is 1 unit, and it has been scaled down to 0.1 units, indicating a decrease in size.
In this case, all figures show a decrease in size relative to their original object because all their scales represent a reduction. To answer the question correctly, you would choose the first figure whose scale indicates a clear dilation that resulted in a smaller representation.
However, since the problem appears to frame this as a choice, if we need to choose just one, **Figure 1: The star with scale 1:5** is an appropriate answer as it displays clear evidence of a decrease in size when the scale ratio is considered.