Study guides

Q: What is the locus of points equidistant from two points?

Write your answer...

Submit

Related questions

I believe that is the definition of a straight line.

you dont

A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center

It is the perpendicular bisector of AB, the line joining the two points.

angle bisector

circle

The perpendicular bisector of the line joining the two points.

A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true

The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.

The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.

a straight line ..

A plane midway between the two given planes and parallel to them.

The locus of the points equidistant from any two points is a straight line. In a square when the points are two opposite vertices this line will pass trough the other two vertices - extending the diagonal between those other two vertices outside the square.

It's a third line, parallel to both and midway between them.

A Circle.

A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points

A line that is the angle bisector.

This is the center, or locus, of a set of points, such as a curve or circle.

It is a line that is also parallel to them and exactly halfway between them.

m m

It's another line, parallel to both of the first two and midway between them.

Points equidistant from AB lie on its perpendicular bisector. Points 5 inches from A lie on the circle with centre A and radius = 5 inches. You will have two points where the perp bisector and circle intersect.

You can define a circle as the locus (set) of all points equidistant from a given point.

A circle, rotated about any diameter, will generate a sphere with the same radius. A circle is the locus of all points in 2-dimensional space that are equidistant from a fixed point. A sphere is the locus of all points in 3-dimensional space that are equidistant from a fixed point.

Assume that all distances are measured along the appropriate perpendicular. There is no specific name for the locus since the locus can be two or one straight lines, depending upon the original two lines. If the two lines are intersecting then the locus is a pair of straight lines that bisect the two angles formed by the original lines. If the original two lines are parallel, then the locus is a line parallel to them and halfway between them.