Meaning of equidistant in maths

Equidistant is another word for 'equally distant', which means at the same distance from a place.

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. For a triangle the circumcentre is a point equidistant from each of the three vertices. Every non-degenerate triangle has such a point. This result can be generalised to cyclic polygons : the circumcentre is equidistant from each of the vertices. Likewise, the incentre of a triangle or any other tangential polygon is equidistant from the points of tangency of the polygon's sides with the circle. Every point on a perpendicular bisector of the side of a triangle or other polygon is equidistant from the two vertices at the ends of that side.

Meaning of equidistant in maths

Online Math Solver ». IntMath f orum ». In geometry, two or more points are said to be equidistant from each other if they are the same distance away from a third point. The term "equidistant" comes from the Latin word "aequus," which means "equal," and "distance," which comes from the Latin word "distantia," meaning "distance. That is because each of these points is four units away from Point D. In another example, the perpendicular bisector of any line segment is equidistant from both endpoints of the line segment. Also, the endpoints of the diameter of a circle is equidistant from the center since the lengths from the center to the circle are the radii. In order to determine if two points are equidistant from any given point, there are two approaches:. I You can use the distance formula to determine the lengths from the stated point to each of the points. The distance between any two points x 1 ,y 1 and x 2 ,y 2 is obtained using the formula:. II You can use the midpoint formula to check if the stated point is the midpoint of the line segment joining the two endpoints. The midpoint of a line segment with endpoints x 1 ,y 1 and x 2 ,y 2 is obtained using the formula:. In conclusion, being able to understand what it means for points to be equidistant from each other is important in geometry and has many real-world applications. Next time you are looking at a map or trying to reason your way through a problem, remember that two points are equidistant from a third point, then the third point is halfway the distance between the two points!

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When the distances between a point and the objects in a set are equal , that point is said to be equidistant from the set. According to Euclidean geometry, the perpendicular bisector connects two points that are equidistant from each other. It follows that when two points are equidistant from two other points in three dimensions , the point is located in a plane. Suppose a scenario of a football groun d where many players have been assigned some positions as part of the lineup. Take the example of a midfielder; the midfielder position is assigned in the middle of the ground from the goal post.

Equidistant is another word for 'equally distant', which means at the same distance from a place. A point is equidistant from other points if it is at the same distance away from them. Equidistant is a term that is mostly used in geometry in the concept of parallel lines, perpendicular bisectors, circles , angle bisectors, and so on. A point is said to be equidistant from two other points when it is at an equal distance away from both of them. For example, the perpendicular bisector of a line segment is equidistant from both endpoints.

Meaning of equidistant in maths

Online Math Solver. In geometry, two or more points are said to be equidistant from each other if they are the same distance away from a third point. The term "equidistant" comes from the Latin word "aequus," which means "equal," and "distance," which comes from the Latin word "distantia," meaning "distance. That is because each of these points is four units away from Point D. In another example, the perpendicular bisector of any line segment is equidistant from both endpoints of the line segment. Also, the endpoints of the diameter of a circle is equidistant from the center since the lengths from the center to the circle are the radii. In order to determine if two points are equidistant from any given point, there are two approaches:. I You can use the distance formula to determine the lengths from the stated point to each of the points. The distance between any two points x 1 ,y 1 and x 2 ,y 2 is obtained using the formula:. II You can use the midpoint formula to check if the stated point is the midpoint of the line segment joining the two endpoints.

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Likewise, the incentre of a triangle or any other tangential polygon is equidistant from the points of tangency of the polygon's sides with the circle. Kindergarten Worksheets. Generally, there are only two techniques for determining if the given set of points is equidistant: the Midpoint and Euclidean distance formula. Worksheets on Geometry. The same is the case for the sphere in which its center is equidistant from each point on the surface. Please help improve this article by adding citations to reliable sources. IntMath f orum ». Whenever a perpendicular bisector connects two vertices at the ends of a triangle or other polygon, every point is equidistan t from them. Online Tutors. Point that is at the same distance to every object in a given set. I You can use the distance formula to determine the lengths from the stated point to each of the points. For a triangle the circumcentre is a point equidistant from each of the three vertices. Equidistant Parallel Lines Parallel lines are defined as lines that are infinite lines and never intersec t each other. To find the midpoint, we use the midpoint formula which is the average of the x-coordinates and the average of the y-coordinates of the two given points.

Two or more figures that are equal in distance from each other, or equal in distance from a given point, are said to be equidistant, as in the figure below. We see things that are equidistant all around us. In the diagram below, the rails on a railroad track are equidistant, and each passenger car on the Ferris wheel is equidistant from the Ferris wheel's center.

There is always a point at the c enter of a non-degenerate triangle. Unsourced material may be challenged and removed. Equidistant Parabola Parabolas are lines perpendicular to the directrix where distances between them are determined along a line perpendicular to the directrix, which is equidistant from the focal point and directrix , respectively. The length of the line connecting two points is the distance between them. Already booked a tutor? Likewise, the incentre of a triangle or any other tangential polygon is equidistant from the points of tangency of the polygon's sides with the circle. Look up equidistant in Wiktionary, the free dictionary. For instance, for point 1, we can give names x1 and y1. Overview Figure 1 — Midfielder Illustration for the equidistant concept Suppose a scenario of a football groun d where many players have been assigned some positions as part of the lineup. Every point on the bisector of an angle of any polygon is equidistant from the two sides that emanate from that angle.