These worksheets teach your students to calculate the values of graphs containing a compound locus.

What are compound locus problems? This is when two or possibly more locus conditions happening at the same time. The word AND or the word AND ALSO generally separate different conditions in these types of problems. Tricks to These Problems - Create each condition separately on the same diagram. It happens when two locus conditions are present in a problem. Calculate how many points are there where two loci conditions intersect after drawing two conditions separately. If you are working with doted lines, find the point where the dotted lines cross. You can follow these steps; Draw a diagram that displays the provided information in the problems. Determine every required condition by careful reading. Consider the probability of the words AND or AND ALSO separating the conditions. Place the initial locus condition. Consider one point that satisfies the required condition and place it on your diagram. When you don't see each locus theorems at work in the problem. Then, consider various additional points that satisfy the conditions and also place them. Place sufficient points for shape appearance and until you know what the locus theorem is required for the problem. Points on the dotted lines show the locus of the points. Repeat steps 2 and 4 for the second locus condition.

Compound locus problems involve at least two different locus conditions at the same time. The problems that are found on these worksheets give you three locations and you will need to find a specific value in between them. The problems require you to understand the importance of a circle's radius and perpendicular bisectors that affect the outcome of the other variables. Your students will use these activity sheets to learn how to calculate different values for graphs (lines, planes, etc.) which contain a compound locus. These worksheets explain how to work with a compound locus. Students will also write equations for a calculated locus.

Get Free Worksheets In Your Inbox!

Print Compound Locus Worksheets

Click the buttons to print each worksheet and associated answer key.

Compound Locus Lesson

This worksheet explains how to work with a compound locus. A sample problem is solved, and two practice problems are provided.


Students will find the specified points along the way. Ten problems are provided.

Practice Worksheet

Ten problems are provided. Students will find the indicated points. Example problem: Two points M and N are 13 units apart. How many points are there that are equidistant from both M and N and also 8 units from M?

Compound Locus Review and Practice

Example problem: Parallel lines C and S are 34 feet apart, and H is a point on line c. How many points are equidistant from C and S and also 5 feet apart from H?

Compound Locus Quiz

Students will demonstrate their proficiency in working with this skill. Here is an example problem: A given point G is 23 units from a given line. How many points are there that are 13 units from the line and 8 units from point G?

Skill Check

Students will find the indicated points. Example problem: What is the number of points in a plane, 3 units from a given line and 9 units from a given point on the line?