microscopes many of the scientific discoveries wouldn’t be possible! In math dilation
mainly is used in Geometry to draw figure of different sizes in proportional sizes. In
ornaments that represent larger ones in a smaller version.
constant (positive) ratio. A dilation can either be an expansion (if the ratio is larger
than one) or a contraction (if it is smaller than one).
Look at the figure below.Construct a point C in the plane, and mark it as the center of
dilation. Now draw any polygonal figure, and dilate it about the center C by a fixed
ratio (1/2, or 3, or whatever). Drag around this polygon, and observe how the image
changes. In particular look at the vertices, their images and the center. Can you see
any relation among them? To find the scale factor we have to add one side of both
corresponding sides and divide them by the corresponding side of the preimage. For
example, side A for the preimage is equal to 5 and side A for the image is equal to 10.
Thus, 5+10/5 so the scale factor will equal 3!!!!
When I first learned about dilation, I thought that is wasn’t important and that
there was no use for it at all, but doin this project made my perspective of dilation and
Geomety change. Dilation is important. I have learned that dilation isn’t used in just
Geometry, it is used in science, math, art, and our everyday life. Dilation is used
everywhere, without you even realizing it, but hopefully after reading this you have
realized that we need dilation.