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What is formed by the intersection of a line and a plane if the line does not lie in the plane?
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True or false p lies in plane b the line containing p and q must lie in plane b?
False. In order for the line PQ to lie in plane B, then both P and Q must lie in plane B.
Do a line and a point not on that line lie in one and only one plane?
Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.
What is the maximum number of points of intersection between two different size circles that lie in the same plane?
69
Points that line on the same plane?
Points or lines that lie on the same plane are coplanar.
What is A line and a point not on the line lie in exactly one plane?
It is a Geometry Theorem. "A line and a point not on the line lie in exactly one place" means what it says.
If points of a line lie on a plane does the whole line lie on the plane?
Yes.
Can a line lie on a plane?
A straight line MUST lie in a plane. A curved line may or may not.
What is the maximum number of points of intersection between a circle and a square that lie in the same plane?
8
True or false p lies in plane b the line containing p and q must lie in plane b?
False. In order for the line PQ to lie in plane B, then both P and Q must lie in plane B.
A line and two points are guaranteed to be coplanar if?
they lie in the same plane
Do a line and a point not on that line lie in one and only one plane?
Yes because a line can lie in many planes so one we add one point not on that line, we define a unique plane.
Does a plane containing 2 points of a line contains the entire line?
Yes, a plane containing 2 points of a line contains the entire line. Let us consider two points on a plane and then draw a line segment joining those two points. Since the points lie on the plane so line segment has to lie completely on that plane too. Now if we extend the line segment indefinitely in both directions we get a line and that line also has to lie on the same plane since some definite part(line segment) of it(line) also lies on the same plane.
What is the maximum number of points of intersection between two different size circles that lie in the same plane?
69
A line and a point not on the line lie in exactly one plane?
True.
Points that line on the same plane?
Points or lines that lie on the same plane are coplanar.
What is A line and a point not on the line lie in exactly one plane?
It is a Geometry Theorem. "A line and a point not on the line lie in exactly one place" means what it says.
Is it true without exception that if P Q R are points contained by plane X and also by plane Y then X is the same plane as Y?
No. If the points are all in a straight line, then they could lie along the line of intersection of both planes. Mark three points on a piece of paper, in a straight line, and then fold the paper along that line so that the paper makes two intersecting planes. The three points on on each plane, but the plants are not the same.
