Tell whether the pair of polygons is similar. Explain why or why not. (3 points) I get the general idea of this but I’m having trouble finding the ratio and scale factor.

In geometry, similarity between to figures, refers to a proportion. Between both figures there's a ratio that make bigger one from another, that ratio is a constant number for all sides, otherwise it won't be proportional, and not similar.

In this case, we don't have proportional sides, because the longer side has a reason of 2.5, and the smaller sides have a reason of 3.33. We can find these reasons by dividing:

[tex]\frac{13}{5.2}=2.5[/tex]

[tex]\frac{8}{2.4}=3.33[/tex]

So, the absence of a constant ratio means that they are not similar. The 8 side must be equal to 6ft, that way parallelograms would be similar becaur 6/2.4=2.5

snehashish65 snehashish65 · Answer 2 · 2021-10-12T11:17:29+02:00

Answer:

The pair of polygons are not similar.

Step-by-step explanation:

According to the concept of similarity, "The two figures are said to be geometrically similar if the ratio of their largest sides and smallest sides gives same numerical value".

For example: If two figures say figure 1 and figure 2 has their largest sides as 12 units and 6 units, then ratio is,

[tex]\dfrac{12}{6}=2[/tex]

Similarly, if their smallest sides are 4 units and 2 units respectively. Then, ratio is,

[tex]\dfrac{4}{2}=2[/tex]

So, figure 1 and figure 2 are similar.

But in the given problem, the ratio of largest sides is,

[tex]\dfrac{13.8}{5.2}=2.5[/tex]

And ratio of smallest side is,

[tex]\dfrac{8}{2.4}=3.33[/tex]

The ratios are different. Thus, the pair of polygons are not similar.

For more details, refer the link:

https://brainly.com/question/24583274?referrer=searchResults