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The set of all points in a plane that are equidistant from two points is a(n)?
The set of all points in a plane that are equidistant from two points is called the perpendicular bisector of the line segment connecting those two points. This geometric construct is a straight line that divides the segment into two equal halves at a right angle.
What figure is the locus of all points that are equidistant from two fixed points?
A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
Does a plane have only two points?
No, two points define a line. It takes three points to define a plane.
How come two points are not enough to name a plane?
Because a place can rotate around those two points as long as the line in on the plane. Two points defines a line. A plane requires 3 points.
What is postulate 8?
If two points are in a plane, then the line that contains the points is in that plane
The set of all points in a plane that are equidistant from two points is a(n)?
The set of all points in a plane that are equidistant from two points is called the perpendicular bisector of the line segment connecting those two points. This geometric construct is a straight line that divides the segment into two equal halves at a right angle.
What figure is the locus of all points that are equidistant from two fixed points?
A line in 2D and a plane in 3D A perpendicular bisector of the line connecting the 2 given points
Does a plane have only two points?
No, two points define a line. It takes three points to define a plane.
How come two points are not enough to name a plane?
Because a place can rotate around those two points as long as the line in on the plane. Two points defines a line. A plane requires 3 points.
What is postulate 8?
If two points are in a plane, then the line that contains the points is in that plane
Does a plane has two points?
A plane has an infinite number of points. It takes 3 points to fix a plane i.e. you need 3 points to identify one unique plane.
If points P and Q are contained in a plane the PQ is entirely contained in that plane?
Yes, if points P and Q are contained in a plane, then the line segment connecting P and Q, denoted as PQ, is also entirely contained in that plane. This is a fundamental property of planes in Euclidean geometry, where any line segment formed by two points within the same plane must lie entirely within that plane. Therefore, the assertion is correct.
Can two points determine a plane?
No, 2 points define a line, 3 points define a plane.
If a segment connecting two points is horizontal you can find the distance between the points by?
When a line segment connecting two points is horizontal the length of the segment can be found by finding the absolute value of the difference in x-coordinates of the two points.
How many lines can be drawn through two fixed points?
In Euclidian or plane geometry, there can be only one line through two fixed points. Lines cannot actually be drawn; if you see it it is not a geometric line. If the points are on a curved surface as in a geometry that is non-Euclidian, then there can be infinitely many lines connecting two points.
Do two points determine a plane?
No. Three points do. Two points determine a line.
Which postulate ensures that a line connecting two of these points also lies in the plane containing the points?
Geometry Text book 1-1 Exercises question 35? Ha i was looking for the same answer too. LOL
