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Topic: 2D Representations of 3D Shapes; Drawing and Constructing Shapes; Loci (Higher - Unit 3)

Specification References: G3.11 G3.11 Construct loci.

Candidates should be able to:

• find loci, both by reasoning and by using ICT to produce shapes and paths
• construct a region, for example, bounded by a circle and an intersecting line
• construct loci, for example, given a fixed distance from a point and a fixed distance from a given line
• construct loci, for example, given equal distances from two points
• construct loci, for example, given equal distances from two line segments
• construct a region that is defined as, for example, less than a given distance or greater than a given distance from a point or line segment
• describe regions satisfying several conditions

Notes

Foundation tier will be restricted to at most two constraints.

Loci questions will be restricted to 2D only.

Loci problems may be set in practical contexts such as finding the position of a radio transmitter.

Example

1. Find the overlapping area of two transmitters, with ranges of 30 km and 40 km respectively.
   (Diagram provided showing transmitters.)

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