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.
The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
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The perpendicular bisector of the line joining the two points.
It's a third line, parallel to both and midway between them.
Yes, the locus of points concept can be used to define various geometric shapes. A straight line can be defined as the locus of points equidistant from two fixed points, while a circle is the locus of points equidistant from a single fixed point (the center). More complex shapes, such as parabolas, can also be defined as loci; for instance, a parabola can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix).
The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
you dont
The perpendicular bisector of the line joining the two points.
circle
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's a third line, parallel to both and midway between them.
Yes, the locus of points concept can be used to define various geometric shapes. A straight line can be defined as the locus of points equidistant from two fixed points, while a circle is the locus of points equidistant from a single fixed point (the center). More complex shapes, such as parabolas, can also be defined as loci; for instance, a parabola can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix).
The locus of points refers to the set of all points that satisfy a given condition or equation. For straight lines, the locus can be defined by a linear equation, while circles are defined as the set of points equidistant from a center point. Parabolas, on the other hand, can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix). This concept allows for the geometric representation of various shapes based on specific conditions.
It is a line that is also parallel to them and exactly halfway between them.
a straight line ..
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
This is the center, or locus, of a set of points, such as a curve or circle.