Compound Locus?

Question

What exatly is a compound locus in plane geometry?

Answer 1

It appears it means that two conditions exist in a problem.

Solving Compound Locus Problems

If TWO conditions exist in a problem (a compound locus), complete steps 2-4 listed below for EACH of the conditions independently ON THE SAME DIAGRAM.
This means to do each locus condition separately.
When the two conditions are drawn, count the number of points where the two loci intersect.
(Where do the dotted lines cross?)

1. Draw a diagram showing the given information in the problem.

2. Read carefully to determine one of the needed conditions. (The different conditions in a compound locus problem are generally separated by the word AND or the words AND ALSO.)

3. Locate one point that satisfies this needed condition and plot it on your diagram. Locate several additional points that satisfy the condition and plot them as well. Plot enough points so that a pattern (a shape) is starting to appear.

4. Through these plotted points draw a dotted line to indicate the locus (or path) of the points.

Repeat steps 2-4 for the second locus condition.

Where the dotted lines intersect will be the points which satisfy both conditions. These points of intersection will be the answer to the compound locus problem.

In some cases, a locus may be defined by more that one distinct set of conditions. In this case the locus is called a compound locus, and corresponds to the intersection of two or more loci. For example, the locus of points that are equidistant from two given points and also equidistant from two given parallel lines (see figure 1c), is a single point. That point lies at the intersection of two lines, one line containing those points equidistant from the two points, and one line containing all those points equidistant from the parallel lines.

Answer 2

Compound Locus

Answer 3

RE:
Compound Locus?
What exatly is a compound locus in plane geometry?