the rectangle pqrs is a dilation of the rectangle pqrs. what is the scale factor of the dilation?\nsimplify…

the rectangle pqrs is a dilation of the rectangle pqrs. what is the scale factor of the dilation?\nsimplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

the rectangle pqrs is a dilation of the rectangle pqrs. what is the scale factor of the dilation?\nsimplify your answer and write it as a proper fraction, an improper fraction, or a whole number.

Answer

Explanation:

Step1: Identify corresponding side lengths

Length of $PQ$: $|6 - (-6)| = 12$; Length of $P'Q'$: $|2 - (-2)| = 4$

Step2: Calculate scale factor

Scale factor = $\frac{\text{Image length}}{\text{Pre-image length}}$ $\text{Scale factor} = \frac{4}{12} = \frac{1}{3}$

Answer:

$\frac{1}{3}$