Question

the triangle qrs is a dilation of the triangle qrs. 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 points

Original points: $Q(-2,0)$, $R(0,-2)$, $S(-2,2)$; Dilated points: $Q'(-10,0)$, $R'(0,-10)$, $S'(-10,10)$

Step2: Calculate scale factor

Scale factor $k = \frac{\text{Coordinate of dilated point}}{\text{Coordinate of original point}}$. Using $Q$ and $Q'$: $k = \frac{-10}{-2} = 5$

Answer:

$5$