# Locus at Fixed Distances from a Point Worksheets

What is Meant by Locus at Fixed Distances from a Point? Geometry is surely interesting. But it brings along its set of various terms and definitions that you need to learn, and sometimes it gets a little tricky to understand. But do not worry! Everything is pretty easy if you think that it is, and a question becomes twice more difficult if you think that it is difficult! Now, let us take a look at what locus is. In geometry, a locus is defined as a set of all points, such as curve, surface, line segment, or even a line, whose location satisfies or is determined by one or more specified conditions. The shape that is created by a set of points whose location fulfills a given set of rules is called locus. When talking about locus at a fixed distance from a line, it is a pair of parallel lines that run starting from the distance to the line and are located on either side of the line.

• ### Basic Lesson

Guides students through the application of coordinates and real life problems. What is the equation of the locus of points 5 units from the origin?

• ### Intermediate Lesson

Demonstrates how to use loci in real world applications. Example: A store is located at the coordinates (-3, 6) on a coordinate grid. The delivery service extends for 7 km. Write the equation of the locus that represents the outer edge of the delivery service area.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Locus at Fixed Distances from a Point. Example: The student radio station has a broadcasting range of 22 miles. Describe the locus of points that represents the outer edge of the broadcasting range.

• ### Independent Practice 2

Students use Locus at Fixed Distances from a Point in 20 assorted problems. The answers can be found below. A loudspeaker is located at the coordinates (1, 18) on a coordinate grid. The voice range extends for 30 miles. Write the equation of the locus that represents the outer edge of the voice range.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Locus at Fixed Distances from a Point. Sample: A hospital is located at the coordinates (2, 5) on a coordinate grid. The hospital's ambulance service extends for 20 miles. Write the equation of the locus that represents the outer edge of the ambulance service area.

• ### Skill Quiz

This tests the students ability to understand Locus at Fixed Distances from a Point.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

• ### Basic Lesson

Guides students through the application of compound loci. The locus of points at a fixed distance, d, from a line, l, is a pair of parallel lines d distance from l and on either side of l.

• ### Intermediate Lesson

Demonstrates how to use coordinates to assist. Example: A straight driveway is 40 feet long and 16 feet wide. Peter is planning to plant flowers 12 feet from the center of the driveway. Describe where the flowers will be planted. If the driveway is 16 feet wide, the distance from the center to either edge is 8 feet. The 40 feet given in the problem is needed only to mention that the flowers will be planted the full 40 feet of the driveway (on both sides). The flowers will be planted 2 feet from the edge of the driveway and on either side of the driveway.

• ### Independent Practice 1

A really great activity for allowing students to understand the concepts of the Locus at a Fixed Distance. Sample: What is the equation of the locus of points 6 units away from the x-axis?

• ### Independent Practice 2

Students use Locus at a Fixed Distance in 20 assorted problems. The answers can be found below.

• ### Homework Worksheet

Students are provided with 12 problems to achieve the concepts of Locus at a Fixed Distance.

• ### Skill Quiz

This tests the students ability to understand Locus at a Fixed Distance.

• ### Homework and Quiz Answer Key

Answers for the homework and quiz.

• ### Lesson and Practice Answer Key

Answers for both lessons and both practice sheets.

#### Who is he?

This mathematician is largely responsible for the present day interest in fractual geometry.