Question

Determine if ΔABC and ΔFHG are similar. If so, write the similarity statement.

options:


A) The triangles are not similar



B) ΔABC ∼ ΔHFG


C) Impossible to determine.


D) ΔABC ∼ ΔFHG

Answer 1

6:1 they are similar

Answer 2

`\Large \boxed{\mathrm{D) \ \triangle ABC \sim \triangle FHG }}`

Explanation:

The two triangles are similar.

The corresponding sides are proportional.

AB ∼ FH

`\displaystyle (72)/(12) =6`

AC ∼ FG

`\displaystyle (48)/(8) =6`

BC ∼ GH

`\displaystyle (84)/(14) =6`