# Locus of Equidistant Points

- Author:
- Zainab Nandawula

## 1) What is the locus equidistant from a fixed point?

- To determine the locus equidistant from a fixed point, we need to draw a set of points that are always the same distance away from a fixed point:

## What is the locus equidistant from a fixed point?

Describe the figure formed (or the path that is traced) by the set of points that are always equidistant from a fixed point?

## 3) What is the locus equidistant from a fixed line?

- To determine the locus equidistant from a fixed line, we need to draw a set of points that are always the same distance away from a fixed line:

## What is the locus Equidistant from a Fixed Line?

Describe the figure formed (or the path that is traced) by the set of points that are always equidistant from a fixed line?

## 5) What is the locus equidistant from two points?

- To determine the locus equidistant from two points, we need to draw a set of points that are always the same distance away from two points:

## What is the locus Equidistant from Two Points

Describe the figure formed (or the path that is traced) by the set of points that are always equidistant from two points?

## 7) What is the locus equidistant from two parallel lines?

- To determine the locus equidistant from two parallel lines, we need to draw a set of points that are always the same distance away from two parallel lines:

## Equidistant from two parallel lines

What kind of path is traced by the points you drew? In other words, what is the locus of points that are equidistant from two parallel lines?

## 9) What is the locus equidistant from the sides of an angle?

- To determine the locus equidistant from the sides of an angle, we need to draw a set of points that are always the same distance away from the sides of an angle:

## What is the locus equidistant from the sides of an angle?

Describe the figure formed (or the path that is traced) by the set of points that are always equidistant from the sides of an angle.

## SUMMARY

Write two sentences about what you have learned today. Address the following topics:

- What is meant by "locus"?
- How do we use locus in geometry?
**What is the locus equidistant from a :**

- a fixed line
- a fixed point
- two parallel lines
- two points