Plz i will give you brainliest carly stated, “all pairs of rectangles are dilations.” which pair of rectangles would prove that carly’s statement is incorrect?

The pair of the rectangles with dimensions 2 , 3 and 3 , 4 proved that Carly's statement is incorrect

Step-by-step explanation:

* Lets explain how to solve the problem

- Dilation is a type of transformation that enlarges or reduces a figure

- To find the image of any figure after dilation by scale factor k we

  multiply all the dimensions of the figure by k

- The scalar factor measures how much larger or smaller the image is

* Lets solve the problem

- In the first figure:

- There are two rectangles the dimensions of the small one are 2 , 4

  and the corresponding dimensions of the large one are 4 , 8

∵ 4/2 = 2 and 8/4 = 2

∴ The scale factor is 2

∴ The corresponding sides are proportion

∴ The pair of rectangles are dilation

- In the second figure:

- There are two rectangles the dimensions of the small one are 2 , 4

  and the corresponding dimensions of the large one are 3 , 6

∵ 3/2 = 1.5 and 6/4 = 1.5

∴ The scale factor is 1.5

∴ The corresponding sides are proportion

∴ The pair of rectangles are dilation

- In the third figure:

- There are two rectangles the dimensions of the small one are 2 , 3

  and the corresponding dimensions of the large one are 3 , 4

∵ 2/3 = 0.67 and 3/4 = 0.75

∵ 2/3 ≠ 3/4

- The dimensions are NOT proportion

∴ The pair of rectangles are not dilation

- In the fourth figure:

- There are two rectangles the dimensions of the small one are 1.5 , 2

  and the corresponding dimensions of the large one are 3 , 4

∵ 1.5/3 = 0.5 and 2/4 = 0.5

∴ The scale factor is 0.5

∴ The corresponding sides are proportion

∴ The pair of rectangles are dilation

* The pair of the rectangles with dimensions 2 , 3 and 3 , 4 proved

  that Carly's statement is incorrect

# Look to the attached figure

22

step-by-step explanation: