What is the locus of all points in space that are equidistant from two points A and B?
What is the locus of all points in space that are equidistant from two points A and B?
The perpendicular bisector
The perpendicular bisector – the locus of points which are equidistant from two fixed points A and B.
What is the locus of all points equidistant from a given point?
A locus is the set of all points (usually forming a curve or surface) satisfying some condition. For example, the locus of points in the plane equidistant from a given point is a circle, and the set of points in three-space equidistant from a given point is a sphere.
What is the locus of points equidistant from two parallel lines?
Two parallel lines: The locus of points equidistant from 2 parallel lines is a line parallel to both given lines and midway between them. 5. Two intersecting lines: The locus of points equidistant from 2 intersecting lines is a pair of perpendicular lines that bisect the angles formed by the intersecting lines.
What is the locus of Y MX C?
If a locus is decribed by a linear equation y = mx + c, then the graph of the locus is a straight line. If the graph of a locus is a straight line, then its algebraic equation is linear, i.e. y = mx + c.
What is a locus of 2 points?
The locus of points equidistant from two given points is the perpendicular bisector of the segment that joins the two points.
How do you find the equidistant of two points?
A point is said to be equidistant from two other points when it is at an equal distance away from both of them. The distance between any two given points can be calculated by using the distance formula with the help of the coordinates of the two points.
What is equidistant math?
A point is said to be equidistant from a set of objects if the distances between that point and each object in the set are equal. In two-dimensional Euclidean geometry, the locus of points equidistant from two given (different) points is their perpendicular bisector.
What is the locus of points equidistant from two intersecting lines?
Two intersecting lines: The locus of points equidistant from 2 intersecting lines is a pair of perpendicular lines that bisect the angles formed by the intersecting lines. Then locate several other points that satisfy the given condition. What is the locus of two parallel lines?
What is the locus of a curve?
A locus is the set of all points (usually forming a curve or surface) satisfying some condition. For example, the locus of points in the plane equidistant from a given point is a circle, and the set of points in three-space equidistant from a given point is a sphere.
What does it mean for a point to be equidistant?
A point is equidistant from 2 other points when it is always the same distance away from those points. Example: point B is equidistant from points A and C. Try moving them around. Also notice that, when keeping A and C fixed, all possible B points together make a line. What is the locus of a point equidistant from two perpendicular lines?
