Question

the rectangle ( ijkl ) is a dilation of the rectangle ( ijkl ). 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: Find length of side in original rectangle

Length of \( JK \) (original rectangle): Count the units from \( x = - 10\) to \( x = 10\). \( JK=10 - (-10)=20\) units.

Step2: Find length of side in dilated rectangle

Length of \( J'K'\) (dilated rectangle): Count the units from \( x=-4\) to \( x = 6\). \(J'K'=6-(-4) = 10\) units.

Step3: Calculate scale factor

Scale factor \(=\frac{\text{Length of dilated side}}{\text{Length of original side}}=\frac{10}{20}=\frac{1}{2}\)

Answer:

\(\frac{1}{2}\)