Loci and Construction

$F$ , $G\,$ and $H\,$ are three towns on a regional planning map. 1 cm represents 5 kilometres.

$\times$

$×G\times G$

$\times H\,$

A new airport $X\,$ is to be built 25 kilometres from town $F$ . The airport $X\,$ must be equidistant from town $G\,$ and town $H$ .

On the map, show the possible positions of the airport $X$ .

[3]

$F$ , $G\,$ and $H\,$ are three towns on a regional planning map. 1 cm represents 5 kilometres.

$\times$

$×G\times G$

$\times H\,$

A new airport $X\,$ is to be built 25 kilometres from town $F$ . The airport $X\,$ must be equidistant from town $G\,$ and town $H$ .

On the map, show the possible positions of the airport $X$ .

[3]

Loci and Construction Questions