1. **State the problem:** We need to determine if the new TV screen (16 inches wide and 9 inches high) is a dilation of the old TV screen (20 inches wide and 15 inches high). 2. **Recall the definition of dilation:** A dilation changes the size of a figure but keeps the shape the same. This means the width-to-height ratio (aspect ratio) must be the same for both screens. 3. **Calculate the aspect ratio of the old screen:** $$\text{Aspect ratio}_{old} = \frac{20}{15} = \frac{4}{3} \approx 1.333$$ 4. **Calculate the aspect ratio of the new screen:** $$\text{Aspect ratio}_{new} = \frac{16}{9} \approx 1.778$$ 5. **Compare the aspect ratios:** Since $$1.333 \neq 1.778$$, the aspect ratios are different. 6. **Conclusion:** Because the aspect ratios are not equal, the new screen is not a dilation of the old screen. The shape has changed, not just the size.