Adding auxilliary lines

Each problem requires the addition of one or more auxiliary lines. The lines add extra information which means that other relationships can be recognised.

Students find this aspect of problem solving in geometry very challenging.

You can download the Adding auxiliary lines: Student worksheet. The questions are graded.

Resist the temptation of looking at the Adding auxiliary lines: Hints and consulting the Adding auxiliary lines: Solutions until students have exhausted their all of their creative impulses!