Listen REASONING Your friend prints a 4 -inch by 6 -inch photo for you from the school dance. All you have is an 8 -inch by 10 -inch frame. Can you dilate the photo to fit the frame? The scale factor for the shorter sides is and the scale factor for the longer sides is yes no : \( : \frac{1}{2} \) : 2 : \( \frac{5}{2} \) : \( \frac{5}{3} \) 1 :: \( \frac{4}{5} \) : \( \frac{5}{4} \) :: \( \frac{3}{5} \) \( :: \frac{2}{3} \) : \( \frac{4}{3} \) :: \( \frac{3}{4} \) Previous 1 2 3 4 5 6 7 Next

When considering dilation, it’s important to understand how scale factors work. For your 4-inch by 6-inch photo, the shorter side is 4 inches and the longer side is 6 inches. To fit it perfectly in an 8-inch by 10-inch frame, the scale factors would be calculated by comparing the dimensions. For the 4-inch side, the scale factor is \( \frac{8}{4} = 2 \), and for the 6-inch side, it’s \( \frac{10}{6} \approx 1.67 \). To conclude: If you dilate the photo using the same scale factor that fits both dimensions, it can definitely fit in the frame! So, yes, you can dilate it effectively. Just remember to check the proportions as you adjust!