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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 line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
a straight line ..
All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.
J
True
True
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 line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
True
The set of all points in the plane equidistant from one point in the plane is named a parabola.
a straight line ..
All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.
J
The plane, which passes through the equator of the earth, perpendicular to its axis of rotation, and equidistant from its poles -- is known as Euuatorial plane
That's a circle around the center, in the plane.
A Circle.