Respuesta :

Given:

Triangles FRI and DAY are similar.

To find:

Similarity ratio

Solution:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

Here, FR and DA are corresponding sides.

[tex]$\Rightarrow \frac{FR}{DA} =\frac{4}{6}[/tex]

Cancel the common factors of 4 and 6, we get

[tex]$\Rightarrow \frac{FR}{DA} =\frac{2}{3}[/tex]

⇒ FR : DA = 2 : 3

⇒ ΔFRI : ΔDAY = 2 : 3

Similarity ratio of the first triangle to the second triangle is 2 : 3.

The similarity ratio should be 2:3

Calculation of the similarity ratio;

In the case when two triangles are same so the corresponding angles are congruent and the corresponding sides should be in proportion.

So,

[tex]FR \div DA = 4\div 6[/tex]

FR:DA = 2:3

Based on the above calculations, we can say that the ratio of first triangle to the second triangle should be 2:3

Learn more about the ratio here: https://brainly.com/question/5102566

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