Loci and Construction

$L$ , $M\,$ and $N\,$ are three landmarks in a park. 1 cm represents $metres5\text{ metres}$ .

$L$ $×\times$

$×M\times M$

$\times N\,$

A treasure $T\,$ is hidden $metres20\text{ metres}$ from landmark $L$ . The treasure $T\,$ is equidistant from landmark $M\,$ and landmark $N$ .

On the map of the park, show the possible positions of the treasure $T$ .

[3]

$L$ , $M\,$ and $N\,$ are three landmarks in a park. 1 cm represents $metres5\text{ metres}$ .

$L$ $×\times$

$×M\times M$

$\times N\,$

A treasure $T\,$ is hidden $metres20\text{ metres}$ from landmark $L$ . The treasure $T\,$ is equidistant from landmark $M\,$ and landmark $N$ .

On the map of the park, show the possible positions of the treasure $T$ .

[3]

Loci and Construction Questions