Meaning of equidistant in maths

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.

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.

Meaning of equidistant in maths

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. Every point on the bisector of an angle of any polygon is equidistant from the two sides that emanate from that angle. The center of a rectangle is equidistant from all four vertices, and it is equidistant from two opposite sides and also equidistant from the other two opposite sides. A point on the axis of symmetry of a kite is equidistant between two sides. The center of a circle is equidistant from every point on the circle. Likewise the center of a sphere is equidistant from every point on the sphere. A parabola is the set of points in a plane equidistant from a fixed point the focus and a fixed line the directrix , where distance from the directrix is measured along a line perpendicular to the directrix. In shape analysis , the topological skeleton or medial axis of a shape is a thin version of that shape that is equidistant from its boundaries.

There is an equidistant line connecting the center of a circle to the center of every point on the circle, which implies that the center of the circle is equidistant. Maths Games. We use the distance formula to meaning of equidistant in maths the distance between any two given points and the midpoint formula is used to find the midpoint of a line segment.

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. So we can say that the midfielder is an equidistant point that has to be in center from both 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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Equidistant Equidistant is another word for 'equally distant', which means at the same distance from a place. The distance between any two points x 1 ,y 1 and x 2 ,y 2 is obtained using the formula:. Category : Elementary geometry. Yes, since the midpoint of a line segment is at an equal distance from the two endpoints, it is said to be equidistant from them. Observe the following figure which shows that point Q is equidistant from P and R. 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. Already booked a tutor? IntMath f orum ». Read Edit View history. With Cuemath, you will learn visually and be surprised by the outcomes. Equidistant Definition 2. There is always a point at the c enter of a non-degenerate triangle. Indulging in rote learning, you are likely to forget concepts.

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.

A point is equidistant from other points if it is at the same distance away from them. Figure 3 — Circumcenter of Triangle Equidistant from its vertices. Introduction to Functions 2. Equidistant Parallel Lines Parallel lines are defined as lines that are infinite lines and never intersec t each other. Online Math Solver ». The distance from one of the apple stores to your house is 5Km and the distance from the second Apple store to your house is also 5 km , but it is not mandatory that your house will be in the middle of both stores. Practice Questions on Equidistant 5. Conversely, the midpoint center of the two points is equidistant from that point which shares an equal distance from the midpoint. Triangles and other tangential polygons have an incentre equidistant from each of their points of tangency with the circle. Substituting the values in the distance formula:. Step 3 After naming each coordinate, the next step is to decide which formula to apply. Search for:.