2D Geometry investigation - Corners of a Rectangle

This is an investigation for the whole class to do at the same time, investigating the seemingly simple idea of the four corners of a rectangle.

It will force pupils to get out of the simple thinking that every rectangle has to be lined up with the co-ordinate axes, with a horizontal base and vertical sides.

Can be done visually, or for more able pupils with algebra and straight lines.

Full solutions included.