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What is the locus of points in the interior of a square that are equidistant from all four sides?
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∙ 15y ago
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∙ 15y ago
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What is the locus of points that are equidistant from the vertices of two opposite angles of the square?
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.
What is the locus of points in a plane equidistant from the sides of an angle?
A line that is the angle bisector.
What is the locus of points equidistant from two sides of an acute scalene triangle?
angle bisector
What is an equation of the locus of points equidistant from the points 4 1 and 10 1?
Every point equidistant from (4, 1) and (10, 1) lies on the line [ x = 7 ],and that's the equation.
Although the locus of points idea can be used to define a straight line and circle more complex shapes such as parabolas must be defined a different way. True or False?
Certainly false for parabolae; a parabola is the locus of points in a plane which are equidistant from a point (the focus) and a line (the directrix) in that plane. It's also false for an ellipse, which is the locus of points in a plane where the sum of the distances from two other points in that plane (the foci) is constant. AND false for a hyperbola, which is the locus of points in a plane where the absolute value of the DIFFERENCE in the distance from two points in that plane (also the foci) is constant. Alternatively, a hyperbola is the locus of points in a plane where the ratio of the distance to one of the foci and to a line (the directrix) is constant (which is larger than 1; if it's exactly equal to 1, you get a parabola instead).All of these are only slightly more complicated than circles, and in fact they, alone with circles, are called "conic sections" because they all are formed by the intersection of a plane with a right circular conical surface.
Locus of points equidistant from a point?
circle
What is a locus of points equidistant from a point?
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
What is the locus of points in a plane that are equidistant from points A and B in the plane?
a straight line ..
What is the locus of points that are equidistant from the vertices of two opposite angles of the square?
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.
A compass draws all points that are equidistant from a fixed point thereby creating a locus of points for a circle?
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
What is the locus of points equidistant from lines y equals 0 and x equals 3?
The locus of points equidistant from lines y = 0 and x = 3 is the line y = -x + 3.
What is the point from which all points are equidistant?
This is the center, or locus, of a set of points, such as a curve or circle.
Locus of all points in a plane equidistant from a given point?
A Circle.
What is the locus of points equidistant from two points?
The perpendicular bisector of the straight line joining the two points.
What is the locus of points in a plane that are equidistant from two fixed points?
I believe that is the definition of a straight line.
What is the locus of points in a plane equidistant from the sides of an angle?
A line that is the angle bisector.
How is the locus of points equidistant from two parallel lines in a plane constructed?
you dont
