Complex loci and regions

What you'll learn

1. 1

   Imagine a dog on a lead in a park – the lead is 5 metres long. The dog can be anywhere 5 metres from you!

2. 2

   Drag the dog to show all the places it can be if the lead is 5 metres long.

3. 3

   Find the locus of points that are exactly 3 cm from a fixed point P.

4. 4

   Now try a different rule: shade the region of points that are LESS than 4 cm from point Q.

5. 5

   A locus is…

6. 6

   If a point is exactly 2 cm from a line, what shape does the locus make?

7. 7

   A region is the area where the rule is true. For points closer than 3 cm to point P, the region is…