Loci and Construction

$X$ , $Y\,$ and $Z\,$ are three landmarks on a park map. 1cm represents 50 metres.

$X$ $×\times$

$×Y\times Y$

$\times Z\,$

A fountain $F\,$ is 200 metres from $X$ . The fountain $F\,$ is equidistant from $Y\,$ and $Z$ .

On the map, show the possible positions of the fountain $F$ .

[3]

$X$ , $Y\,$ and $Z\,$ are three landmarks on a park map. 1cm represents 50 metres.

$X$ $×\times$

$×Y\times Y$

$\times Z\,$

A fountain $F\,$ is 200 metres from $X$ . The fountain $F\,$ is equidistant from $Y\,$ and $Z$ .

On the map, show the possible positions of the fountain $F$ .

[3]

Loci and Construction Questions