NRICH - Reflecting Lines

Straight Line Graphs, Reflections
Key Stage: 3 ★

Can you find some lines that are reflections of each other in the horizontal or vertical axes. What do you notice about the equations?

This problem helps students to consolidate their understanding of how equations of the form y=mx+c describe the gradient and position of lines. Students explore the effect on the equation of reflecting a straight line. Students are encouraged to visualise the movement of the graphs in order to conjecture and test their conjectures.
This is good preparation for future work on transforming the graphs of more complicated functions.

This resource has comprehensive teachers' notes and resources, linked from the problem page. This includes possible approaches and key questions, as well as possible support and extensions.


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