Year 7
Measurement and Geometry
Transformations of the plane
Each of the triangles \(T^\prime\), \(T^{\prime\prime}\) and \(T^{\prime\prime\prime}\) are obtained from triangle \(T\) by moving it.
Triangle \(T^\prime\) is formed by rotating triangle \(T\) about the point \(C\).
Triangle \(T^{\prime\prime}\) is formed by reflecting triangle \(T\) in the \(y\)-axis.
Triangle \(T^{\prime\prime\prime}\) is formed by translating triangle \(T\) across and down.
When the triangle is moved in this way we call the movement a transformation. The three types of transformations considered in this resource package are translations, reflections and rotations.
Properties of these transformations
When a figure is translated, rotated or reflected:
- Line segments move to intervals of the same length
- Angles move to angles of the same size.
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