Dilation
An enlargement or reduction of a figure
Dilation is a transformation in geometry where a figure is enlarged or reduced in size. In other words, dilation is a transformation that changes the size of a figure, but not its shape. When a figure is dilated, every point in the original figure is moved away from or toward the center of dilation.
The center of dilation is a fixed point that is used as the reference point for the enlargement or reduction of the figure. The scale factor is used to determine the percentage of change in size of the figure. If the scale factor is greater than 1, the figure is enlarged, and if the scale factor is less than 1, the figure is reduced.
The formula for dilation is (x’, y’) = (kx, ky), where (x, y) is a point in the original figure, (x’, y’) is the corresponding point in the dilated figure, and k is the scale factor.
Dilation is widely used in various fields, such as architecture, engineering, and art, to create proportional designs, increase or decrease the size of structures, and create visually appealing pieces.
More Answers:
Equiangular Polygons: Properties And ExamplesMastering Basic Triangle Concepts: Types, Formulas And Theorems Explained
Discover The Role Of Isometries In Geometry, Topology, And Group Theory With Practical Applications In Computer Graphics And Engineering