Question

the parallelogram bcde is a dilation of the parallelogram bcde. what is the scale factor of the dilation? simplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

Explanation:

Step1: Identify corresponding sides

Take side \(BE\) and \(B'E'\). Coordinates of \(B=(9,10)\), \(E=(9,5)\), so \(BE = 10 - 5=5\). Coordinates of \(B'=(1,2)\), \(E'=(1,1)\), so \(B'E'=2 - 1 = 1\).

Step2: Calculate scale factor

Scale factor \(k=\frac{B'E'}{BE}\). Substitute \(B'E' = 1\) and \(BE = 5\) into the formula, we get \(k=\frac{1}{5}\).

Answer:

\(\frac{1}{5}\)