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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
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.
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
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.
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.
Can two points determine a plane?
No, 2 points define a line, 3 points define a plane.
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.
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
Do two points determine a plane?
No. Three points do. Two points determine a line.
What is a spherical path?
A spherical path is a curve on the surface of a sphere, typically connecting two points on the sphere. It is analogous to a straight line in a two-dimensional plane. On a globe, the equator is an example of a spherical path.
What is the difference between an arc and a chord?
If you take two distinct points on a curve, the arc is the part of the curve connecting the two points while the chord is the straight line connecting them.
