The correct proportion to determine if the figures represent a dilation is:
(b).
To determine if the figures represent a dilation, you can compare the ratios of corresponding sides between the two rectangles.
Compare the ratios of the lengths and widths separately.
For lengths:
- Original rectangle length = 5
- New rectangle length = 8
Ratio of lengths = New rectangle length / Original rectangle length = 8 / 5
For widths:
- Original rectangle width = 2
- New rectangle width = 3
Ratio of widths = New rectangle width / Original rectangle width = 3 / 2
Comparing the ratios:
- Ratio of lengths: 8 / 5
- Ratio of widths: 3 / 2
So, the correct proportion that represents the dilation of the figures would be:
b.

Question:
Which proportion could be used to determine if the figures represent a dilation?
A rectangle with a length of 5 and width of 2. A rectangle with a length of 8 and width of 3.
a.

b.

c.

d.
