Where is the centre of a triangle?

Before doing this lesson, pupils should have seen perpendicular bisectors, angle bisectors, and constructing a perpendicular from a point to a line. The idea in this lesson is that pupils get asked, 'Where is the centre of a triangle?', and have to come up with ways to define what this means, and see if they can use a compass, ruler and pencil to find it.

I tend to just pose the question and let them go to town on it! I have included some possibilities and how to construct them, but its more down to them to decide for themselves. There are also hyperlinks in blue where you can show them in more detail, and there are often some puzzled expressions when it seems possible that the centre isn't even in the triangle. Can even bring in centre of mass too! :)

If you liked this resource, please check out my other stuff on TES!
https://www.tes.com/teaching-resources/search/?f=authorId%5B2095097%5D