Similarity
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 [latex]\textrm{A}^{\prime}[/latex][latex]\textrm{B}^{\prime}[/latex][latex]\textrm{C}^{\prime}[/latex] is the image of triangle [latex]ABC[/latex] after a rotation of one quarter turn about point O.
- Triangle [latex]\textrm{A}^{\prime\prime}[/latex][latex]\textrm{B}^{\prime\prime}[/latex][latex]\textrm{C}^{\prime\prime}[/latex] is the image of triangle [latex]\textrm{A}^{\prime}[/latex][latex]\textrm{B}^{\prime}[/latex][latex]\textrm{C}^{\prime}[/latex] after a dilation around centre O and a ratio of 1/2.
- Triangles [latex]\textrm{A}[/latex][latex]\textrm{B}[/latex][latex]\textrm{C}[/latex] and [latex]\textrm{A}^{\prime\prime}[/latex][latex]\textrm{B}^{\prime\prime}[/latex][latex]\textrm{C}^{\prime\prime}[/latex] are similar triangles.
