All constructions
Try it on the Geometry BoardUses:Midpoint and perpendicular bisector

Miquel point

Marks the point shared by the circumcircles of the four triangles that four lines make. Ruler and compass only.

All parts
Part 1 of 8: Mark the crossings of the four linesStep 1 of 1Pencil

Extend the lines if you need to. Mark where f meets g (X), f meets h (Y), g meets h (Z), f meets k (U) and g meets k (V).

Keys: left and right arrows step, Space plays or pauses, Escape goes back to all constructions.