XXX, Y Y\,Y and Z Z\,Z are three landmarks on a park map. 1cm represents 50 metres.
XXX ×\times×
×Y\times Y×Y
×Z \times Z\,×Z
A fountain F F\,F is 200 metres from XXX. The fountain F F\,F is equidistant from Y Y\,Y and ZZZ.
On the map, show the possible positions of the fountain FFF.
Practise AQA GCSE Maths Loci and Construction with exam-style questions for Foundation and Higher tier. 100 questions, matched to the AQA GCSE Maths (8300) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.