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Diego took a picture of a video game controller and then edited it. Which is the scaled copy and which is the distorted image? Explain your reasoning.
Is there anything about the pictures you could measure to test whether there’s been a distortion?
A dilation with center and a positive scale factor takes a point along the ray to another point whose distance is times farther away from than is. If is less than 1 then the new point is really closer to , not farther away.
A scale drawing of an object is a drawing in which all lengths in the drawing correspond to lengths in the original object multiplied by the same value. When we scale a figure we need to be sure to scale all of the parts equally or else the image will become distorted.
Creating a scaled copy involves multiplying the lengths in the original figure by a scale factor. The scale factor is the factor by which every length in an original figure is multiplied when you make a scaled copy. A scale factor greater than 1 enlarges an object, and a scale factor less than 1 shrinks an object. What would a scale factor equal to 1 do?
For example, segment is a scaled copy of segment with a scale factor of . So . If , then or 1.5.
In the image here, segment is a dilation of segment using center and a scale factor of 3. So and .
Segment is also a dilation of segment . This dilation uses center and a scale factor of .
A dilation is a transformation that can reduce or enlarge a figure.
A dilation with center and positive scale factor takes a point along the ray to another point whose distance is times farther away from than is.
Triangle is the result of applying a dilation with center and scale factor 3 to triangle .