General term applied to dilations and transformations of the plane resulting from a dilation or the composition of an isometry and a dilation.
Example
Consider right triangle ABC and point O.
- Triangle \(\textrm{A}^{\prime}\)\(\textrm{B}^{\prime}\)\(\textrm{C}^{\prime}\) is the image of triangle \(ABC\) after a rotation of one quarter turn about point O.
- Triangle \(\textrm{A}^{\prime\prime}\)\(\textrm{B}^{\prime\prime}\)\(\textrm{C}^{\prime\prime}\) is the image of triangle \(\textrm{A}^{\prime}\)\(\textrm{B}^{\prime}\)\(\textrm{C}^{\prime}\) after a dilation around centre O and a ratio of 1/2.
- Triangles \(\textrm{A}\)\(\textrm{B}\)\(\textrm{C}\) and \(\textrm{A}^{\prime\prime}\)\(\textrm{B}^{\prime\prime}\)\(\textrm{C}^{\prime\prime}\) are similar triangles.
