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
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
