With experience you discover that the proofs of the first two years almost always revolve around a few recurring situations. Learning to recognise them in the figure is half the work.

Observation — The 5 most frequent moves in proofs

The five situations that recur in the majority of first-two-years Euclidean geometry proofs.

These five situations recur in the majority of first-two-years Euclidean geometry proofs. Learn to recognise them in the figure!

Topics: Euclidean geometry
Concepts: Alternate interior angles · Vertically opposite angles · Exterior angle · Proof · Isosceles triangle
Skills: Proving · Synthetic geometry