Question

A company is producing nacho chips, $△STU$. As demand increases, the size of the nacho chips increases, and the updated version is $△PQR$. Find the scaling factor of the nacho chips.

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

The correct option is B 2

From the figure, we can see that both triangles look similar.

As we know,

Increased length
= Scale factor $\times$ Actual length

Scale factor = $\frac{\text{Increased length}}{\text{Actual length}}$

= $\frac{12}{6}$

= 2

That means the updated triangle has a scale factor of 2.