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What must be true about the average rate of change between any two points on the graph of an increasing function?
if a function is increasing, the average change of rate between any two points must be positive.
Is three distinct points always determine a line?
No, because Of any three points on a line there exists no more than one that lies between the other two.
Is every set of three points a collinear?
no,three points can be non collinear
How will you draw two angles in three common points?
if i put three points on the common arm ,then they are common points for both the two angles
Does three lines intersect at the same point must all be in the same plane?
No. Any pair of the three will describe a plane, so the three possible pairs describe three planes.
A triangle is a figure formed by three segments and four coplanar points?
No. A trinagle does not require four points, three are sufficient. And any three points, if they are not colinear, must be coplanar.
For a point to be between two other points the three points must be?
They must be collinear.
In general how many planes are there which contain any number of given points?
There are no planes containing any number of given points. Two points not the same define a line. Three points not in a line define a plane. For four or more points to lie in the same plane, three can be arbitrary but not on the same line, but the fourth (and so on) points must lie in that same plane.
Are any three points coplanar?
In 3-dimensional space, yes, any three points are coplanar.
What three type of points determine a plane?
Any 3 points
What are the three points for coplanar but not collinear?
Two points (which must lie on a line) and the third point NOT on that line.
What three points can be the verticies of a triangle?
Any three points anywhere in space can be the vertices of a triangle, as long as all three are not colinear.
Can any three points be the vertices of a triangle?
no
What kind of points determine a plane?
Any three points which do not form a line.
Three points that determine a plane?
Any 3 points determine a plane.
In geometry is it true that through any three points exists exactly one line?
No, given any three points, it is possible for one of the points not to be on the line defined by the other two points. Only two points on a line are needed to identify the exact position of the line. The positions of any three points gives you the exact position of the plane that includes those three points.No, it is not true. If it were true, all triangles would be straight lines !?!
Can noncollinear parts lie on the same plane?
Yes. In fact any three points that are not collinear define a plane and therefore MUST lie on a plane.
