0
How many points are there that are equidistant points a and b and also 2in from the line passing through a and b?
Wiki User
∙ 11y agoWant this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
A set of points that are the same distance from a given point?
equidistant, the circumference of a circle is formed by equidistant points from the center of the circle. It could also be the surface of a sphere if you are not limited to two dimensions.
What is the locus of points equidistant from two parallel lines that are 6 inches apart?
It is a line that is also parallel to them and exactly halfway between them.
What is the locus of points equidistant from the four vertices of a rectangle?
In two dimensions, I believe that it is the centroid of the rectange. In 3D, it would be an infinite line drawn normal to the surface of the rectangle, and passing through its centroid. I suppose that a circle of infinite radius also counts as an answer, because each point is equally (infinitely) far from each vertice, but I do not think that is what the quesion is asking.
What is the total number of points equidistant from two intersecting straight roads and also 300 feet from the traffic light at the center of the intersection?
4
Given two points A and B in the three dimensional space what is the set of points equidistant from A and B?
A plane is the set of all points in 3-D space equidistant from two points, A and B. If it will help to see it, the set of all points in a plane that are equidistant from points A and B in the plane will be a line. Extend that thinking off the plane and you'll have another plane perpendicular to the original plane, the one with A and B in it. And the question specified that A and B were in 3-D space. Another way to look at is to look at a line segment between A and B. Find the midpoint of that line segment, and then draw a plane perpendicular to the line segment, specifying that that plane also includes the midpoint of the line segment AB. Same thing. The set of all points that make up that plane will be equidistant from A and B. At the risk of running it into the ground, given a line segment AB, if the line segment is bisected by a plane perpendicular to the line segment, it (the plane) will contain the set of all points equidistant from A and B.
A set of points that are the same distance from a given point?
equidistant, the circumference of a circle is formed by equidistant points from the center of the circle. It could also be the surface of a sphere if you are not limited to two dimensions.
What is the locus equidistant from ab which are 6 inches apart and also five inches away from a?
Points equidistant from AB lie on its perpendicular bisector. Points 5 inches from A lie on the circle with centre A and radius = 5 inches. You will have two points where the perp bisector and circle intersect.
Is a set of points equidistant from a given point called the center?
Yes. This is also seen in conic sections.
The distance between points P and Q is 8 units How many points are equidistant from P and Q and also 3 units from P?
zero Half the distance between them would be 4 units; so 3 units from P would not be close enough to Q to be equidistant.
What is the locus of points equidistant from two parallel lines that are 6 inches apart?
It is a line that is also parallel to them and exactly halfway between them.
What is the locus of points equidistant from the four vertices of a rectangle?
In two dimensions, I believe that it is the centroid of the rectange. In 3D, it would be an infinite line drawn normal to the surface of the rectangle, and passing through its centroid. I suppose that a circle of infinite radius also counts as an answer, because each point is equally (infinitely) far from each vertice, but I do not think that is what the quesion is asking.
What is the total number of points equidistant from two intersecting straight roads and also 300 feet from the traffic light at the center of the intersection?
4
Given two points A and B in the three dimensional space what is the set of points equidistant from A and B?
A plane is the set of all points in 3-D space equidistant from two points, A and B. If it will help to see it, the set of all points in a plane that are equidistant from points A and B in the plane will be a line. Extend that thinking off the plane and you'll have another plane perpendicular to the original plane, the one with A and B in it. And the question specified that A and B were in 3-D space. Another way to look at is to look at a line segment between A and B. Find the midpoint of that line segment, and then draw a plane perpendicular to the line segment, specifying that that plane also includes the midpoint of the line segment AB. Same thing. The set of all points that make up that plane will be equidistant from A and B. At the risk of running it into the ground, given a line segment AB, if the line segment is bisected by a plane perpendicular to the line segment, it (the plane) will contain the set of all points equidistant from A and B.
When AB is written without a bar above it it stands for a segments geometry?
Sometimes. But it could also stand for the ray or [infinite] line passing through the points A and B.
Is a sphere also a circle?
No, a sphere and a circle are different geometric shapes. A sphere is a three-dimensional object with all points equidistant from the center, while a circle is a two-dimensional shape with all points equidistant from the center. In other words, a circle is a flat, circular shape, while a sphere is a three-dimensional, round object.
Points A and B are 6 units apart How many points are equidistant fomr A and B and 2 units from A?
None. If a point is 2 units from 'A' and equidistant from 'A' and 'B', then it also has to be2 units from 'B'.But the shortest distance between 'A' and 'B' is 6 units, and the point on that line that's equidistantfrom both of them is the point in the middle, which is 3 units from each.So a point equidistant from 'A' and 'B' must be 3 or more units from each one. 2 units won't do it.
What is the formal definition of a circle at this site?
A geometric shape in which all points are equidistant from a common point. Also, to draw attantion to, by highlighting something. Also, to surround something, as in, "The Indians made a circle around the wagons."
