Question

estimation without using calculators, use side de and side de to estimate the scale factor for the dilation shown. then use two corresponding sides to find the scale factor. side de looks about 4 times longer than side de. the scale factor for this dilation is (simplify your answer)

Explanation:

Step1: Identify Side Lengths

From the graph, side \( DE \) (smaller triangle) and \( D'E' \) (larger triangle). Let's estimate lengths. For \( DE \), from coordinates (approx), and \( D'E' \) is about 4 times longer (as given: "Side \( D'E' \) looks about 4 times longer than side \( DE \)").

Step2: Determine Scale Factor

Scale factor is the ratio of length of image (\( D'E' \)) to pre - image (\( DE \)). If \( D'E' = 4\times DE \), then scale factor \(=\frac{D'E'}{DE}=4\).

Answer:

\( 4 \)