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Dilate triangle
Here is a center of dilation and a triangle.
| Ratio | ||||
|---|---|---|---|---|
| Value |
| Ratio | ||||
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| Value |
We know that a dilation with center
The triangle
Because of the way dilations are defined, all of these quotients give the scale factor:
If triangle
The dilation of a line segment is longer or shorter according to the same ratio given by the scale factor. In other words, if segment
Corresponding side lengths of the original figure and dilated image are all in the same proportion, and are related by the same scale factor,