Locus

Learning Outcomes

Identify the locus of a point in simple cases such as:

The loci of angles

The loci of points

The loci of lengths

Locus Locus

A locus (plural: loci) is a path.

The locus of a point moves so that it is always a set distance (x) from a fixed point (O):

Loci work is looking at a rule, and thinking about all the solutions for the rule.

Locus Locus

The locus of a line between two points moves so that it is always a set distance (r) from the line between the two points (P and Q).

Locus Locus

A treasure chest is buried on an island. P and Q are two trees on this island.The treasure chest is buried the same distance from P as it is from Q.

The treasure chest is buried20 metres from P.

(a) On the diagram, draw accurately the locus which represents all the points which are 20 metres from P.

(b) Find the point where the treasure chest is buried. On the diagram, mark the point clearly with a T.

Scale:1cm represents 5m

Locus Locus

A yacht leaves a port P and travels for 40km on a bearing of 060 to reacha marker buoy B. At B the yacht turns and travels fir a further 50km dueeast to reach a lighthouse L. At L the yacht turns again and travels back toP in a straight line.

(a) Using a scale of 1cm to represent 10km, make an accurate scale drawing of the locus of the yacht

(b) Using your scale drawing, find the actual distance between the lighthouse and the port.

Additional Notes

Locus

Learning Outcomes:At the end of the topic I will be able to

Can Revise Do Further

Identify the locus of a point in simple cases such as:

The loci of angles

The loci of points

The loci of lengths