Question

figures abcd and efgh are similar.
the scale factor of figure abcd to figure efgh 3:1
if side fg is 126 mm, what is the length of bc?
note: the shapes are not drawn to scale.
bc = \boxed{} mm

Explanation:

Step1: Recall scale factor for similar figures

For similar figures, the ratio of corresponding sides is equal to the scale factor. The scale factor of \(ABCD\) to \(EFGH\) is \(3:1\), so \(\frac{BC}{FG}=3\).

Step2: Solve for \(BC\)

Given \(FG = 126\) mm, substitute into the ratio: \(BC=3\times FG\).
\(BC = 3\times126 = 378\) mm.

Answer:

378