Transformations

Rotation

  • Choose whether you want to rotate a triangle, a quadrilateral, or a pentagon.
  • Move the blue points to change the shape and move the green point to adjust the centre of rotation.
  • Note that you can click the buttons to show/ hide the axes and also show/ hide tracing paper. You can also choose to show an “up” arrow on the tracing paper.
  • You can also see how you might think about rotation using vectors, which might help you perform the rotation without using tracing paper.
  • Note that you can also use the zoom buttons to zoom in or out.
  • Drag the green slider to animate the rotation.
  • Note that you can quickly return to a 0º rotation by clicking the green “Rotation nº” button above the slider.
  • Also note that you have the option to hide the centre of rotation, so you can present a source and its image without the centre visible, and ask students to locate the centre.
With thanks to Jon Ingram, whose Transformations – Rotation worksheet is available here. Material modified to show image by default and embedded here under the CC-BY-SA 3.0 license.

Reflection

  • Choose whether you want to rotate a triangle, a quadrilateral, or a pentagon.
  • Move the blue points to change the shape.
  • Move the green points to change the mirror line. You can also click and hold elsewhere on the mirror line in order to translate it.
  • Note that you can click the button to show/ hide the axes.
  • Click and hold to pan the grid. You can also use the zoom buttons to zoom in or out.
  • Click “Show reflection” to show the reflected image.
With thanks to Jon Ingram, whose Transformations – Reflection worksheet is available here.Material modified to show image by default and embedded here under the CC-BY-SA 3.0 license.

Translation

Move the sliders to change the translation.

With thanks to Lorena Mendoza, whose Transformations – Translation worksheet is available here. Material copied and used under the CC-BY-SA 3.0 license.

Enlargement

  • Drag the cross to move the centre of enlargement around
  • Drag the slider to change the scale factor
  • Tick the box to show the enlargement
  • Show/hide the vector from the centre of enlargement to a vertex by simply clicking on the vertex
  • You can use the zoom buttons to zoom in or out, and pan across the grid by clicking and dragging