Under a dilation of scale factor 1/2 centered at 7.5, sm becomes th determine the coordinate
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the scale factor, #1/3#, into the coordinates #(-3, 6)#, to get the coordinates of the image point, #(-1, 2)#.
Explanation:
The idea of dilation, scaling, or "resizing", is to make something either bigger or smaller, but when doing this to a shape, you would have to somehow "scale" each coordinate.
Another thing is that we're not sure how the object would "move"; when scaling to make something bigger, the area/volume becomes larger, but that would mean the distances between points should become longer, so, which point goes where? A similar question arises when scaling to make things smaller.
An answer to that would be to set a "center of dilation", where all lengths are transformed in a way that makes their new distances from this center proportional to their old distances
Explanation:
The idea of dilation, scaling, or "resizing", is to make something either bigger or smaller, but when doing this to a shape, you would have to somehow "scale" each coordinate.
Another thing is that we're not sure how the object would "move"; when scaling to make something bigger, the area/volume becomes larger, but that would mean the distances between points should become longer, so, which point goes where? A similar question arises when scaling to make things smaller.
An answer to that would be to set a "center of dilation", where all lengths are transformed in a way that makes their new distances from this center proportional to their old distances
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