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. Two-thirds = StartFraction 5 Over 8 EndFraction Two-thirds = StartFraction 8 Over 5 EndFraction StartFraction 2 Over 8 EndFraction = Five-thirds StartFraction 2 Over 8 EndFraction = three-fifths.

Answer 1

To determine if the figures represent a dilation, we need to find the ratio of the corresponding side lengths. If the ratios are equal, then the figures represent a dilation.

Step-by-step explanation:

To determine if the figures represent a dilation, we need to find the ratio of the corresponding side lengths. In this case, the dimensions of the first rectangle are 5 and 2, while the dimensions of the second rectangle are 8 and 3.

To find the ratio, we can set up a proportion by comparing the corresponding side lengths:
Length: 5/8 = 2/3
Width: 2/3 = 5/8

If the ratios are equal, then the figures represent a dilation. In this case, the ratios are not equal, so the figures do not represent a dilation.

Answer 2

The correct proportion to determine if the figures represent a dilation is:
`(2)/(3) =(8)/(5)` (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.
`(2)/(3) =(8)/(5)`

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.
`(2)/(3) =(5)/(8)`

b.
`(2)/(3) =(8)/(5)`

c.
`(2)/(8) =(5)/(3)`

d.
`(2)/(8) =(3)/(5)`