G7c – Reflection

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Part 1 – Reflection (easy)

Interactive GeoGebra activity—Reflection: easy
  • 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.
  • 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.

Part 2 – Reflection (hard)

Click the tabs for extension tasks…

  1. A reflection maps \((x,y)\) to \((-x,y)\). What is the reflection?
  2. A reflection maps \((x,y)\) to \((x,-y)\). What is the reflection?
  3. A reflection maps \((x,y)\) to \((y,x)\). What is the reflection?
Hover for answers:
  1.   Reflection in the y-axis or the line \(x=0\)
  2.   Reflection in the x-axis or the line \(y=0\)
  3.   Reflection in the line \(y=x\)
  • What are the coordinates of the point to which a reflection in the line \(y=2\) maps the point with coordinates \((p,q)\)?
Hover for answers:
  •   \((p,2-q)\)
Interactive GeoGebra activity—Reflection on a grid with axes
  • 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.
Links to past exam questions

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In the real world

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