# Similarity

## 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 $$\textrm{A}^{\prime}$$$$\textrm{B}^{\prime}$$$$\textrm{C}^{\prime}$$ 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.