These worksheets will give your students practice with equations for the locus of different points.

#### A locus (in geometric terms) is a series of points that is determined by specific conditions. When we work with loci in math, it makes me feel like I am placing a pin in corkboard. We place that pin based on the instructions that are provided. In most cases, we will just moving up and down the y-axis or left and right across the x-axis. In these worksheets you will be the one placing the pin in the corkboard.

What is a locus at a fixed distance? A locus is the arrangement of all focuses which fulfill a specific condition. The locus at a fixed separation, d, from point P is a hover with the given point P as its inside and d as its span. The locus at a fixed separation, d, from a line m, is a couple of equal lines a good way off of d from line m and situated on either side of m. The locus is equidistant from two focuses. An and B is the opposite bisector of the line fragment joining the two focuses. The locus equidistant from two parallel lines, m1 and m2, is a line corresponding to both m1 and m2 and somewhere between them. These worksheets explain how to find the locus of two points at a fixed distance and write its equation.

# Print Locus at a Fixed Distance Worksheets

## Finding the Locus Lesson

This worksheet explains how to find the locus of two points at a fixed distance. A sample problem is solved, and two practice problems are provided.

## Worksheet

Students will write the equation of the locus described. Ten problems are provided.

## Practice

Students will describe the locus indicated. Example problem: A wooden block is 200 feet long and 40 feet wide. It is planned to cut it 28 feet from the center of the block. Describe where it will be cut. Ten problems are provided.

## Review and Practice

Students review how to find these measures. Here is a sample problem: A book-cover is 12 feet long and 6 feet wide. It is planned to color it 5 foot from the center of the book-cover. Describe where it will be painted. Six practice problems are provided.

## Quiz

Students will demonstrate their proficiency this skill. Example: A railway track is 125 feet long and 50 feet wide. It is planned to cover it with mud 30 feet from the center of the track. Describe where it will be covered with mud. Ten problems are provided.

## Check

Students will find the locus described and write its equation. Example: Describe the locus of points 6 units from the line y = -14. Three problems are provided, and space is included for students to copy the correct answer when given.

## Equation of the Locus Lesson

This worksheet explains how to find and write the equation of the locus. A sample problem is solved, and two practice problems are provided.

## Worksheet

Example: A tree A is 50 feet from another tree B. Shadowing range of A is 30 feet and that of B is 25 feet. Draw a diagram showing the areas where each tree shadows. Is any area shadowed by both the trees?

## Practice Worksheet

Given two points, students will find and write the equation of the locus. Ten problems are provided.

## Review and Practice

A workshop is located at the coordinates (5, 12) on a coordinate grid. The delivery service extends for 5 km. Write the equation of the locus which represents the outer edge of the delivery service area.

## Quiz

Students will demonstrate their proficiency in finding and writing the equation of the locus. Ten problems are provided.

## Skills Check

Students will find the locus and write its equation. Three problems are provided, and space is included for students to copy the correct answer when given.