Question

if these two shapes are similar, what is the measure of the missing length v?
3 mm
v
v = \square millimeters
submit
9 mm
3 mm

Explanation:

Step1: Find the scale factor

The corresponding sides of similar shapes are proportional. The length of the larger shape's top side is 9 mm and the smaller one's is 3 mm. So the scale factor from the smaller to the larger is $\frac{9}{3}=3$. But we need the scale factor from the larger to the smaller for the side with length 3 mm (larger) to find \( v \) (smaller). So the scale factor is $\frac{1}{3}$.

Step2: Calculate \( v \)

The larger shape's side is 3 mm. To find the smaller one, we multiply by the scale factor: \( v = 3\times\frac{1}{3}=1 \).

Answer:

1