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Compound Loci. A compound locus problem involves two, or possibly more, locus conditions occurring at the same time.
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1. Aim: How do we solve problems involving compound loci? Do Now: On the worksheet
Sketch the locus of points equidistant from two trees that are 14 feet apart.
2. Compound Loci A compound locus problem involves two, or possibly more, locus conditions occurring at the same time. The different conditions in a compound locus problem are generally separated by the word "AND" or the words "AND ALSO".
3. How to solve a compound loci problem Steps for solving a compound locus problem:
Prepare each condition separately on the SAME DIAGRAM.
After the two conditions are drawn, count the number of points where the two loci conditions intersect.
The intersection is the point(s) that satisfy both conditions
4. A treasure is buried in your backyard. The picture below shows your backyard which contains a stump, a teepee, and a tree. The teepee is 8 feet from the stump and 18 feet from the tree. The treasure is equidistant from the teepee and the tree AND ALSO 6 feet from the stump. Locate all possible points of the buried treasure.