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.

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Presentation transcript:

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 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 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 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 buried 20 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 A yacht leaves a port P and travels for 40km on a bearing of 060 to reach a marker buoy B. At B the yacht turns and travels fir a further 50km due east to reach a lighthouse L. At L the yacht turns again and travels back to P 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