Question

2) The triangles are similar. Find the similarity ratio of the first triangle to the 1 point

Answer 1

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.

$\Rightarrow \frac{FR}{DA} =\frac{4}{6}$

Cancel the common factors of 4 and 6, we get

$\Rightarrow \frac{FR}{DA} =\frac{2}{3}$

⇒ FR : DA = 2 : 3

⇒ ΔFRI : ΔDAY = 2 : 3

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