Question

consider the original trapezoid and the reduction.
what is the length of side a, in centimeters, on the reduced trapezoid?
figures not drawn to scale.

Explanation:

Step1: Find the scale factor

The corresponding sides of the original and reduced trapezoid are \(13.5\) cm and \(9\) cm. The scale factor \(k\) is \(\frac{9}{13.5}=\frac{2}{3}\).

Step2: Calculate the length of side \(A\)

The corresponding side in the original trapezoid is \(3\) cm. Using the scale factor, the length of side \(A\) is \(3\times\frac{2}{3} = 2\) cm.

Answer:

\(2\)