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10. If an image is stretched and its scale factor is 2 , how do the sizes of the image and the pre-image compare? The image is half the size of the pre-image in all dimensions. The image is twice the size of the pre-image either horizontally or vertically. The image is twice the size of the pre-image in all The image is twice the size of the pre-image in one direction and half the size in the other direction.

Ask by Flynn Turnbull. in the United States
Mar 20,2025

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Answer

The image is twice the size of the pre-image in all dimensions.

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1. The scale factor of \(2\) means every linear measurement (width and height) of the image is multiplied by \(2\). 2. If the original (pre-image) dimensions are \(w\) (width) and \(h\) (height), then the new dimensions are: \[ \text{New Width} = 2w, \quad \text{New Height} = 2h \] 3. Hence, the image is twice the size of the pre-image in all dimensions. 4. The correct statement is: The image is twice the size of the pre-image in all dimensions.

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When an image is stretched with a scale factor of 2, it means that every dimension of the original shape, or the pre-image, is multiplied by 2. So, if you had a square that was 2 units on each side, after stretching, it would become 4 units on each side, making it twice the size in all dimensions. It's like inflating a balloon—everything expands uniformly! This concept isn't just theoretical; it plays a vital role in various fields such as design, architecture, and even video game development. Designers often use scaling to fit images into specific layouts while maintaining proportions. Understanding how to manipulate scale factors can help ensure that visuals remain sharp and attractive, whether you’re enlarging a simple logo or designing intricate 3D models!

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