Transformation

What is a transformation?

A transformation is a process that changes the position, size, or shape of a figure. There are four basic types of transformations: translation, reflection, rotation, and dilation.

Translation

A translation is a slide of a figure in a certain direction. Every point of the figure moves in the same direction and by the same distance. The figure does not change its orientation.

Reflection

A reflection is a flip of a figure over a line. Each point of the figure is reflected across the line, creating a mirror image of the original figure.

Rotation

A rotation is a turn of a figure around a fixed point. The figure remains the same shape and size, but it changes its orientation.

Dilation

A dilation is a transformation that changes the size of a figure. The figure becomes larger or smaller, but its shape and orientation remain the same.

Study Guide

1. What is a transformation?
2. What are the four basic types of transformations?
3. Explain translation and provide an example.
4. Describe reflection and provide an example.
5. What is a rotation and how does it differ from other transformations?
6. Define dilation and give an example of a dilation.