About This Course
This topic explores the concept of loci, which are sets of points satisfying specific geometric conditions. Students will learn to construct and analyse loci related to distances from points, lines, and angles. The study of loci forms the basis for understanding curves and regions in geometry, with applications in construction, navigation, and design.
Learning Outcomes:
The learner should be able to:
- Define loci and understand their geometric significance
- describe common types of loci.
- Construct loci equidistant from points, lines, and other geometric objects.
- construct intersecting loci.
- construct loci involving inequalities.
- Analyse and solve problems involving loci of points.
- Use loci to describe geometric places such as circles, perpendicular bisectors, and angle bisectors.
- Apply loci concepts in real-life problem solving and design contexts.