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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.Teacher resources for Part 1

**Teachers**: log in to access the following:

- Slides in PDF (one slide per page, suitable for importing into IWB software)

- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)

# Part 2 – Reflection (hard)

Click the tabs for extension tasks…

- A reflection maps \((x,y)\) to \((-x,y)\). What is the reflection?
- A reflection maps \((x,y)\) to \((x,-y)\). What is the reflection?
- A reflection maps \((x,y)\) to \((y,x)\). What is the reflection?

Hover for answers:

- Reflection in the y-axis or the line \(x=0\)
- Reflection in the x-axis or the line \(y=0\)
- 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:

Interactive GeoGebra activity—Reflection on a grid with axes

- Choose whether you want to reflect 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.Teacher resources for Part 2

**Teachers**: log in to access the following:

- Slides in PDF (one slide per page, suitable for importing into IWB software)

- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)

Links to past exam questions

**Teachers**: log in to access these.

In the real world

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