Level 1: Construct an equilateral triangle from the line segment AB.

Hint: You only need another point C so that it is equal distance from A and from B.

Solution: This is a very simple problem (after all this is just level 1) – the solution is as follow – you construct the other vertex C of the equilateral triangle. The point C must have AC = AB, so it must lie on the circle with center A and radius AB. The point C must also have BA = BC, so it must lie on the circle with center B and radius BA, therefore the solution is as follow