Chapter 12.4, Problem 1MRE

To determine

To find : the scale factor of the trapezoids.

Answer to Problem 1MRE

The scale factor is 1.5.

Explanation of Solution

Given information :

Trapezoid ABCD is similar to trapezoid PQRS.

Calculation :

Since, the two trapezoids are similar means their corresponding sides are proportional.

Also, the scale factor of the trapezoid is given by the ratio of their corresponding sides.

Here, AD and PS are corresponding sides and $PS=18$ and $AD=12$ .

Therefore, scale factor is

  $\begin{array}{l}\text{Scale factor}=\frac{PS}{AD}\\ \text{Scale factor}=\frac{18}{12}\\ \text{Scale factor}=1.5\end{array}$

Hence,

The scale factor is 1.5.