Drag cards onto each diagram (or tap a card, then a box). Every diagram needs its locus in complex form (with z) and its Cartesian equation (with x and y).

Choose the loci

Each diagram has two matching cards: the locus with z and with x and y. Some diagrams are near-misses of each other (a sign changed, the other half of a line, a dashed boundary instead of a solid one), so look carefully.

How many diagrams

Types of locus

Circles |z − a| = r Perpendicular bisectors |z − a| = |z − b| Half-lines arg(z − a) = θ Circles |z − a| = k|z − b| (not on 9FM0)

Loci or regions

Regions: shaded diagrams with inequalities, e.g. |z − 2| ≤ 3 and (x − 2)² + y² ≤ 9. Dashed boundaries are strict (< or >).

Complex Loci · Matching

Choose the loci

Cards