Question: 1. A dilation transformation that creates a proportionally scaled version of something is common in many applications. For example, a cartographer might use a dilation

1. A dilation transformation that creates a proportionally scaled version of something is common in many applications. For example, a cartographer might use a dilation to create a map where the distances and sizes of all geographical features are uniformly scaled down from their real-world dimensions. The map remains proportional to the actual area it represents. Another example is using a photocopy machine to enlarge or reduce a document, which applies a dilation to the original image. 2. A manipulation of an original that creates something non-proportional happens when the dimensions are not scaled uniformly. A common example is using an image editor to stretch or squash a photo, such as making a person appear wider or taller without proportionally changing their other dimensions. This changes the image's aspect ratio and distorts the original proportions. Similarly, displaying a video on a screen with a different aspect ratio than the original video can result in a non-proportional manipulation, where the video is stretched to fit the screen respond to the post in three simple sentences, informal

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