Question

triangles fgh and wxy are similar.
how long is yw?
a. 8 cm
b. 6 cm
c. 4 cm
d. 2 cm

Explanation:

Step1: Identify similarity ratio

Triangles \( FGH \) and \( WXY \) are similar. The ratio of corresponding sides \( HG \) and \( YX \) is \( \frac{12}{6} = 2 \). So the scale factor from \( WXY \) to \( FGH \) is \( 2 \), meaning the ratio of \( FGH \) to \( WXY \) is \( 2:1 \).

Step2: Apply ratio to find \( YW \)

Side \( FH \) (8 cm) in \( FGH \) corresponds to \( YW \) in \( WXY \). Using the similarity ratio, \( YW=\frac{FH}{2}=\frac{8}{2} = 4 \) cm.

Answer:

C. 4 cm